906207134688 has 72 divisors (see below), whose sum is σ = 2712659531400. Its totient is φ = 286170672384.

The previous prime is 906207134683. The next prime is 906207134711. The reversal of 906207134688 is 886431702609.

906207134688 is a `hidden beast` number, since 9 + 0 + 620 + 7 + 1 + 3 + 4 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×906207134688² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906207134683) 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, 82798543 + ... + 82809486.

It is an arithmetic number, because the mean of its divisors is an integer number (37675826825).

Almost surely, 2^906207134688 is an apocalyptic number.

It is an amenable number.

906207134688 is an abundant number, since it is smaller than the sum of its proper divisors (1806452396712).

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

906207134688 is a wasteful number, since it uses less digits than its factorization.

906207134688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165608064 (or 165608053 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 906207134688 in words is "nine hundred six billion, two hundred seven million, one hundred thirty-four thousand, six hundred eighty-eight".