642156356362752 has 4320 divisors, whose sum is σ = 2648573327207808. Its totient is φ = 151511216947200.

The previous prime is 642156356362727. The next prime is 642156356362757. The reversal of 642156356362752 is 257263653651246.

642156356362752 is a `hidden beast` number, since 6 + 4 + 2 + 1 + 5 + 6 + 3 + 563 + 62 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 642156356362752.

It is not an unprimeable number, because it can be changed into a prime (642156356362757) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1721598810438 + ... + 1721598810810.

Almost surely, 2^{642156356362752} is an apocalyptic number.

642156356362752 is a gapful number since it is divisible by the number (62) 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 642156356362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324286663603904).

642156356362752 is an abundant number, since it is smaller than the sum of its proper divisors (2006416970845056).

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

642156356362752 is a wasteful number, since it uses less digits than its factorization.

642156356362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 444 counting only the distinct ones).

The product of its digits is 326592000, while the sum is 63.

The spelling of 642156356362752 in words is "six hundred forty-two trillion, one hundred fifty-six billion, three hundred fifty-six million, three hundred sixty-two thousand, seven hundred fifty-two".