335472744960 has 640 divisors, whose sum is σ = 1316686440960. Its totient is φ = 80529850368.

The previous prime is 335472744953. The next prime is 335472744967. The reversal of 335472744960 is 69447274533.

It is a happy number.

335472744960 is a `hidden beast` number, since 3 + 3 + 5 + 472 + 74 + 49 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (335472744953) and next prime (335472744967).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×335472744960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 335472744897 and 335472744906.

It is not an unprimeable number, because it can be changed into a prime (335472744967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27019714 + ... + 27032126.

It is an arithmetic number, because the mean of its divisors is an integer number (2057322564).

Almost surely, 2^335472744960 is an apocalyptic number.

335472744960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335472744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658343220480).

335472744960 is an abundant number, since it is smaller than the sum of its proper divisors (981213696000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

335472744960 is a wasteful number, since it uses less digits than its factorization.

335472744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485 (or 12463 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 335472744960 in words is "three hundred thirty-five billion, four hundred seventy-two million, seven hundred forty-four thousand, nine hundred sixty".