7959693672 has 384 divisors, whose sum is σ = 26747136000. Its totient is φ = 2133734400.

The previous prime is 7959693667. The next prime is 7959693673. The reversal of 7959693672 is 2763969597.

7959693672 is a `hidden beast` number, since 7 + 9 + 596 + 9 + 36 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7959693673) 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, 28326172 + ... + 28326452.

It is an arithmetic number, because the mean of its divisors is an integer number (69654000).

Almost surely, 2^7959693672 is an apocalyptic number.

7959693672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7959693672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373568000).

7959693672 is an abundant number, since it is smaller than the sum of its proper divisors (18787442328).

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

7959693672 is a wasteful number, since it uses less digits than its factorization.

7959693672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 361 counting only the distinct ones).

The product of its digits is 38578680, while the sum is 63.

The square root of 7959693672 is about 89217.1153535015. The cubic root of 7959693672 is about 1996.6354825182.

The spelling of 7959693672 in words is "seven billion, nine hundred fifty-nine million, six hundred ninety-three thousand, six hundred seventy-two".