642711319200 has 432 divisors, whose sum is σ = 2441204752896. Its totient is φ = 158648371200.

The previous prime is 642711319199. The next prime is 642711319249. The reversal of 642711319200 is 2913117246.

642711319200 is a `hidden beast` number, since 6 + 427 + 1 + 13 + 19 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5071002 + ... + 5196198.

It is an arithmetic number, because the mean of its divisors is an integer number (5650936928).

Almost surely, 2^642711319200 is an apocalyptic number.

642711319200 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 642711319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220602376448).

642711319200 is an abundant number, since it is smaller than the sum of its proper divisors (1798493433696).

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

642711319200 is a wasteful number, since it uses less digits than its factorization.

642711319200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125277 (or 125261 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 642711319200 in words is "six hundred forty-two billion, seven hundred eleven million, three hundred nineteen thousand, two hundred".