336434067180960 has 1920 divisors, whose sum is σ = 1288967517895680. Its totient is φ = 73714346754048.

The previous prime is 336434067180949. The next prime is 336434067180971. The reversal of 336434067180960 is 69081760434633.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (336434067180949) and next prime (336434067180971).

It is a super-2 number, since 2×336434067180960² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 336434067180894 and 336434067180903.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 545274014572 + ... + 545274015188.

It is an arithmetic number, because the mean of its divisors is an integer number (671337248904).

Almost surely, 2^{336434067180960} is an apocalyptic number.

336434067180960 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 336434067180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644483758947840).

336434067180960 is an abundant number, since it is smaller than the sum of its proper divisors (952533450714720).

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

336434067180960 is a wasteful number, since it uses less digits than its factorization.

336434067180960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 60.

The spelling of 336434067180960 in words is "three hundred thirty-six trillion, four hundred thirty-four billion, sixty-seven million, one hundred eighty thousand, nine hundred sixty".