56465747346600 has 384 divisors, whose sum is σ = 208247796288000. Its totient is φ = 14012559728640.

The previous prime is 56465747346587. The next prime is 56465747346647. The reversal of 56465747346600 is 664374756465.

56465747346600 is a `hidden beast` number, since 5 + 6 + 4 + 65 + 7 + 473 + 46 + 60 + 0 = 666.

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, 4714609 + ... + 11625791.

It is an arithmetic number, because the mean of its divisors is an integer number (542311969500).

Almost surely, 2^{56465747346600} is an apocalyptic number.

56465747346600 is a gapful number since it is divisible by the number (50) 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 56465747346600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104123898144000).

56465747346600 is an abundant number, since it is smaller than the sum of its proper divisors (151782048941400).

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

56465747346600 is a wasteful number, since it uses less digits than its factorization.

56465747346600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6911314 (or 6911299 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 63.

The spelling of 56465747346600 in words is "fifty-six trillion, four hundred sixty-five billion, seven hundred forty-seven million, three hundred forty-six thousand, six hundred".