474587760960 has 280 divisors, whose sum is σ = 1698316583040. Its totient is φ = 125797764096.

The previous prime is 474587760949. The next prime is 474587760967. The reversal of 474587760960 is 69067785474.

474587760960 is a `hidden beast` number, since 47 + 4 + 587 + 7 + 6 + 0 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×474587760960² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474587760967) 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 39 ways as a sum of consecutive naturals, for example, 4273821 + ... + 4383459.

It is an arithmetic number, because the mean of its divisors is an integer number (6065416368).

Almost surely, 2^474587760960 is an apocalyptic number.

474587760960 is a gapful number since it is divisible by the number (40) 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 474587760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849158291520).

474587760960 is an abundant number, since it is smaller than the sum of its proper divisors (1223728822080).

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

474587760960 is a wasteful number, since it uses less digits than its factorization.

474587760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109835 (or 109816 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 474587760960 in words is "four hundred seventy-four billion, five hundred eighty-seven million, seven hundred sixty thousand, nine hundred sixty".