201642626304 has 108 divisors (see below), whose sum is σ = 664440512736. Its totient is φ = 57612174336.

The previous prime is 201642626287. The next prime is 201642626309. The reversal of 201642626304 is 403626246102.

201642626304 is a `hidden beast` number, since 2 + 0 + 1 + 642 + 6 + 2 + 6 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201642626309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6235194 + ... + 6267449.

Almost surely, 2^201642626304 is an apocalyptic number.

201642626304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201642626304 is an abundant number, since it is smaller than the sum of its proper divisors (462797886432).

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

201642626304 is a wasteful number, since it uses less digits than its factorization.

201642626304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12502672 (or 12502655 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 201642626304 in words is "two hundred one billion, six hundred forty-two million, six hundred twenty-six thousand, three hundred four".