646397343715200 has 1152 divisors, whose sum is σ = 2703267938528640. Its totient is φ = 134244698112000.

The previous prime is 646397343715199. The next prime is 646397343715229. The reversal of 646397343715200 is 2517343793646.

It is a super-2 number, since 2×646397343715200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9991734054 + ... + 9991798746.

It is an arithmetic number, because the mean of its divisors is an integer number (2346586752195).

Almost surely, 2^{646397343715200} is an apocalyptic number.

646397343715200 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 646397343715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351633969264320).

646397343715200 is an abundant number, since it is smaller than the sum of its proper divisors (2056870594813440).

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

646397343715200 is a wasteful number, since it uses less digits than its factorization.

646397343715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66676 (or 66652 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 60.

The spelling of 646397343715200 in words is "six hundred forty-six trillion, three hundred ninety-seven billion, three hundred forty-three million, seven hundred fifteen thousand, two hundred".