646532827750656 has 5184 divisors, whose sum is σ = 2649609302179840. Its totient is φ = 147747085516800.

The previous prime is 646532827750643. The next prime is 646532827750853. The reversal of 646532827750656 is 656057728235646.

646532827750656 is a `hidden beast` number, since 6 + 4 + 6 + 5 + 32 + 82 + 7 + 7 + 506 + 5 + 6 = 666.

It is a super-2 number, since 2×646532827750656² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5090809667265 + ... + 5090809667391.

Almost surely, 2^{646532827750656} is an apocalyptic number.

646532827750656 is a gapful number since it is divisible by the number (66) 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 646532827750656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324804651089920).

646532827750656 is an abundant number, since it is smaller than the sum of its proper divisors (2003076474429184).

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

646532827750656 is a wasteful number, since it uses less digits than its factorization.

646532827750656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3048192000, while the sum is 72.

The spelling of 646532827750656 in words is "six hundred forty-six trillion, five hundred thirty-two billion, eight hundred twenty-seven million, seven hundred fifty thousand, six hundred fifty-six".