7969665600 has 672 divisors, whose sum is σ = 32700407040. Its totient is φ = 1873428480.

The previous prime is 7969665589. The next prime is 7969665601. The reversal of 7969665600 is 65669697.

7969665600 is a `hidden beast` number, since 79 + 6 + 9 + 6 + 6 + 560 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7969665601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12916492 + ... + 12917108.

It is an arithmetic number, because the mean of its divisors is an integer number (48661320).

Almost surely, 2^7969665600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7969665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16350203520).

7969665600 is an abundant number, since it is smaller than the sum of its proper divisors (24730741440).

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

7969665600 is a wasteful number, since it uses less digits than its factorization.

7969665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 7969665600 is about 89272.9835952625. The cubic root of 7969665600 is about 1997.4689315308.

The spelling of 7969665600 in words is "seven billion, nine hundred sixty-nine million, six hundred sixty-five thousand, six hundred".