642813259200 has 672 divisors, whose sum is σ = 2548757107200. Its totient is φ = 138556293120.

The previous prime is 642813259199. The next prime is 642813259223. The reversal of 642813259200 is 2952318246.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146191402 + ... + 146195798.

Almost surely, 2^642813259200 is an apocalyptic number.

642813259200 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 642813259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274378553600).

642813259200 is an abundant number, since it is smaller than the sum of its proper divisors (1905943848000).

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

642813259200 is a wasteful number, since it uses less digits than its factorization.

642813259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 642813259200 in words is "six hundred forty-two billion, eight hundred thirteen million, two hundred fifty-nine thousand, two hundred".