672664077520641 has 48 divisors (see below), whose sum is σ = 1041428364958800. Its totient is φ = 416891904344064.

The previous prime is 672664077520601. The next prime is 672664077520649. The reversal of 672664077520641 is 146025770466276.

672664077520641 is a `hidden beast` number, since 6 + 7 + 2 + 6 + 6 + 40 + 7 + 7 + 520 + 64 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 113024433377025 + 559639644143616 = 10631295^2 + 23656704^2 .

It is not a de Polignac number, because 672664077520641 - 2¹⁰ = 672664077519617 is a prime.

It is a super-2 number, since 2×672664077520641² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (672664077520649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36969226 + ... + 52077363.

It is an arithmetic number, because the mean of its divisors is an integer number (21696424269975).

Almost surely, 2^{672664077520641} is an apocalyptic number.

It is an amenable number.

672664077520641 is a deficient number, since it is larger than the sum of its proper divisors (368764287438159).

672664077520641 is a wasteful number, since it uses less digits than its factorization.

672664077520641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89047218 (or 89047215 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 672664077520641 in words is "six hundred seventy-two trillion, six hundred sixty-four billion, seventy-seven million, five hundred twenty thousand, six hundred forty-one".