646312404192 has 768 divisors, whose sum is σ = 2257320296448. Its totient is φ = 157341450240.

The previous prime is 646312404173. The next prime is 646312404209. The reversal of 646312404192 is 291404213646.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 531069568 + ... + 531070784.

It is an arithmetic number, because the mean of its divisors is an integer number (2939219136).

Almost surely, 2^646312404192 is an apocalyptic number.

646312404192 is a gapful number since it is divisible by the number (62) 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 646312404192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128660148224).

646312404192 is an abundant number, since it is smaller than the sum of its proper divisors (1611007892256).

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

646312404192 is a wasteful number, since it uses less digits than its factorization.

646312404192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 646312404192 in words is "six hundred forty-six billion, three hundred twelve million, four hundred four thousand, one hundred ninety-two".