466260955776 has 1280 divisors, whose sum is σ = 1855446912000. Its totient is φ = 112571596800.

The previous prime is 466260955729. The next prime is 466260955819. The reversal of 466260955776 is 677559062664.

466260955776 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 6 + 0 + 9 + 557 + 76 = 666.

It is a super-2 number, since 2×466260955776² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 894934396 + ... + 894934916.

It is an arithmetic number, because the mean of its divisors is an integer number (1449567900).

Almost surely, 2^466260955776 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 466260955776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927723456000).

466260955776 is an abundant number, since it is smaller than the sum of its proper divisors (1389185956224).

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

466260955776 is a wasteful number, since it uses less digits than its factorization.

466260955776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 466260955776 in words is "four hundred sixty-six billion, two hundred sixty million, nine hundred fifty-five thousand, seven hundred seventy-six".