642104646343500 has 384 divisors, whose sum is σ = 2005520612659200. Its totient is φ = 159164692070400.

The previous prime is 642104646343471. The next prime is 642104646343549. The reversal of 642104646343500 is 5343646401246.

It is a super-2 number, since 2×642104646343500² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 642104646343500.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 400736941 + ... + 402336059.

It is an arithmetic number, because the mean of its divisors is an integer number (5222709928800).

Almost surely, 2^{642104646343500} is an apocalyptic number.

642104646343500 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 642104646343500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002760306329600).

642104646343500 is an abundant number, since it is smaller than the sum of its proper divisors (1363415966315700).

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

642104646343500 is a wasteful number, since it uses less digits than its factorization.

642104646343500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599426 (or 1599414 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 642104646343500 in words is "six hundred forty-two trillion, one hundred four billion, six hundred forty-six million, three hundred forty-three thousand, five hundred".