642826301004 has 18 divisors (see below), whose sum is σ = 1624922038740. Its totient is φ = 214275433656.

The previous prime is 642826300981. The next prime is 642826301101. The reversal of 642826301004 is 400103628246.

642826301004 is a `hidden beast` number, since 6 + 4 + 2 + 8 + 2 + 630 + 10 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×642826301004² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 17856286139 = 642826301004 / (6 + 4 + 2 + 8 + 2 + 6 + 3 + 0 + 1 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 642826301004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8928143034 + ... + 8928143105.

Almost surely, 2^642826301004 is an apocalyptic number.

It is an amenable number.

642826301004 is an abundant number, since it is smaller than the sum of its proper divisors (982095737736).

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

642826301004 is a wasteful number, since it uses less digits than its factorization.

642826301004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17856286149 (or 17856286144 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 642826301004 in words is "six hundred forty-two billion, eight hundred twenty-six million, three hundred one thousand, four".