646657152000 has 528 divisors, whose sum is σ = 2285390148288. Its totient is φ = 162270412800.

The previous prime is 646657151957. The next prime is 646657152077. The reversal of 646657152000 is 251756646.

It is a super-2 number, since 2×646657152000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110973087 + ... + 110978913.

Almost surely, 2^646657152000 is an apocalyptic number.

646657152000 is a gapful number since it is divisible by the number (60) 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 646657152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142695074144).

646657152000 is an abundant number, since it is smaller than the sum of its proper divisors (1638732996288).

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

646657152000 is a wasteful number, since it uses less digits than its factorization.

646657152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 646657152000 in words is "six hundred forty-six billion, six hundred fifty-seven million, one hundred fifty-two thousand".