746501520960 has 672 divisors, whose sum is σ = 2874619762560. Its totient is φ = 183303585792.

The previous prime is 746501520893. The next prime is 746501520991. The reversal of 746501520960 is 69025105647.

746501520960 is a `hidden beast` number, since 7 + 4 + 6 + 501 + 52 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 625734124 + ... + 625735316.

It is an arithmetic number, because the mean of its divisors is an integer number (4277707980).

Almost surely, 2^746501520960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746501520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437309881280).

746501520960 is an abundant number, since it is smaller than the sum of its proper divisors (2128118241600).

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

746501520960 is a wasteful number, since it uses less digits than its factorization.

746501520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 746501520960 in words is "seven hundred forty-six billion, five hundred one million, five hundred twenty thousand, nine hundred sixty".