642641624163 has 576 divisors, whose sum is σ = 1359740928000. Its totient is φ = 290454595200.

The previous prime is 642641624159. The next prime is 642641624171. The reversal of 642641624163 is 361426146246.

642641624163 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 4 + 1 + 624 + 16 + 3 = 666.

642641624163 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 642641624163 - 2² = 642641624159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (642641624063) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5060170206 + ... + 5060170332.

Almost surely, 2^642641624163 is an apocalyptic number.

642641624163 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

642641624163 is an abundant number, since it is smaller than the sum of its proper divisors (717099303837).

642641624163 is a wasteful number, since it uses less digits than its factorization.

642641624163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 642641624163 in words is "six hundred forty-two billion, six hundred forty-one million, six hundred twenty-four thousand, one hundred sixty-three".