649202110673256 has 512 divisors, whose sum is σ = 2185111240704000. Its totient is φ = 174341978284032.

The previous prime is 649202110673201. The next prime is 649202110673329. The reversal of 649202110673256 is 652376011202946.

It is a happy number.

649202110673256 is a `hidden beast` number, since 6 + 4 + 9 + 202 + 1 + 106 + 7 + 325 + 6 = 666.

It is a super-2 number, since 2×649202110673256² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82396507125 + ... + 82396515003.

It is an arithmetic number, because the mean of its divisors is an integer number (4267795392000).

Almost surely, 2^{649202110673256} 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 649202110673256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092555620352000).

649202110673256 is an abundant number, since it is smaller than the sum of its proper divisors (1535909130030744).

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

649202110673256 is a wasteful number, since it uses less digits than its factorization.

649202110673256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11798 (or 11788 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 649202110673256 in words is "six hundred forty-nine trillion, two hundred two billion, one hundred ten million, six hundred seventy-three thousand, two hundred fifty-six".