646697518272 has 448 divisors, whose sum is σ = 2164460390400. Its totient is φ = 187698954240.

The previous prime is 646697518183. The next prime is 646697518307. The reversal of 646697518272 is 272815796646.

646697518272 is a `hidden beast` number, since 6 + 4 + 6 + 6 + 97 + 518 + 27 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102859513 + ... + 102865799.

It is an arithmetic number, because the mean of its divisors is an integer number (4831384800).

Almost surely, 2^646697518272 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 646697518272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082230195200).

646697518272 is an abundant number, since it is smaller than the sum of its proper divisors (1517762872128).

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

646697518272 is a wasteful number, since it uses less digits than its factorization.

646697518272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6581 (or 6565 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 646697518272 in words is "six hundred forty-six billion, six hundred ninety-seven million, five hundred eighteen thousand, two hundred seventy-two".