642691324800 has 1920 divisors, whose sum is σ = 2896756262400. Its totient is φ = 137056665600.

The previous prime is 642691324729. The next prime is 642691324813. The reversal of 642691324800 is 8423196246.

642691324800 is a `hidden beast` number, since 64 + 26 + 91 + 3 + 2 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3550780710 + ... + 3550780890.

It is an arithmetic number, because the mean of its divisors is an integer number (1508727220).

Almost surely, 2^642691324800 is an apocalyptic number.

642691324800 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 642691324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448378131200).

642691324800 is an abundant number, since it is smaller than the sum of its proper divisors (2254064937600).

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

642691324800 is a wasteful number, since it uses less digits than its factorization.

642691324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 642691324800 in words is "six hundred forty-two billion, six hundred ninety-one million, three hundred twenty-four thousand, eight hundred".