642576271428000 has 2688 divisors, whose sum is σ = 2922966318504960. Its totient is φ = 135131153817600.

The previous prime is 642576271427983. The next prime is 642576271428017. The reversal of 642576271428000 is 824172675246.

642576271428000 is a `hidden beast` number, since 6 + 4 + 2 + 5 + 7 + 627 + 1 + 4 + 2 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (642576271427983) and next prime (642576271428017).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 84117848181 + ... + 84117855819.

It is an arithmetic number, because the mean of its divisors is an integer number (1087413064920).

Almost surely, 2^{642576271428000} is an apocalyptic number.

642576271428000 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 642576271428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461483159252480).

642576271428000 is an abundant number, since it is smaller than the sum of its proper divisors (2280390047076960).

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

642576271428000 is a wasteful number, since it uses less digits than its factorization.

642576271428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8019 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 642576271428000 in words is "six hundred forty-two trillion, five hundred seventy-six billion, two hundred seventy-one million, four hundred twenty-eight thousand".