7673656752072 has 40 divisors (see below), whose sum is σ = 21493344145350. Its totient is φ = 2557885583808.

The previous prime is 7673656752017. The next prime is 7673656752079. The reversal of 7673656752072 is 2702576563767.

7673656752072 is a `hidden beast` number, since 7 + 6 + 7 + 36 + 5 + 6 + 7 + 520 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6713519374116 + 960137377956 = 2591046^2 + 979866^2 .

It is not an unprimeable number, because it can be changed into a prime (7673656752079) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5921030797 + ... + 5921032092.

Almost surely, 2^{7673656752072} is an apocalyptic number.

7673656752072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7673656752072 is an abundant number, since it is smaller than the sum of its proper divisors (13819687393278).

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

7673656752072 is a wasteful number, since it uses less digits than its factorization.

7673656752072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11842062907 (or 11842062894 counting only the distinct ones).

The product of its (nonzero) digits is 155584800, while the sum is 63.

The spelling of 7673656752072 in words is "seven trillion, six hundred seventy-three billion, six hundred fifty-six million, seven hundred fifty-two thousand, seventy-two".