7932661954560 has 288 divisors, whose sum is σ = 31420780765920. Its totient is φ = 1813179727872.

The previous prime is 7932661954519. The next prime is 7932661954603. The reversal of 7932661954560 is 654591662397.

7932661954560 is a `hidden beast` number, since 7 + 9 + 3 + 2 + 6 + 6 + 19 + 54 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5503087 + ... + 6793326.

It is an arithmetic number, because the mean of its divisors is an integer number (109099933215).

Almost surely, 2^{7932661954560} is an apocalyptic number.

7932661954560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7932661954560 is an abundant number, since it is smaller than the sum of its proper divisors (23488118811360).

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

7932661954560 is a wasteful number, since it uses less digits than its factorization.

7932661954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12296453 (or 12296430 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 7932661954560 in words is "seven trillion, nine hundred thirty-two billion, six hundred sixty-one million, nine hundred fifty-four thousand, five hundred sixty".