7944672960 has 672 divisors, whose sum is σ = 32865730560. Its totient is φ = 1723244544.

The previous prime is 7944672959. The next prime is 7944672961. The reversal of 7944672960 is 692764497.

It is a happy number.

7944672960 is a `hidden beast` number, since 7 + 94 + 467 + 2 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7944672959) and next prime (7944672961).

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 7944672897 and 7944672906.

It is not an unprimeable number, because it can be changed into a prime (7944672961) 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, 62556417 + ... + 62556543.

Almost surely, 2^7944672960 is an apocalyptic number.

7944672960 is a gapful number since it is divisible by the number (70) 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 7944672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432865280).

7944672960 is an abundant number, since it is smaller than the sum of its proper divisors (24921057600).

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

7944672960 is a wasteful number, since it uses less digits than its factorization.

7944672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 7944672960 is about 89132.8949378399. The cubic root of 7944672960 is about 1995.3787435521.

The spelling of 7944672960 in words is "seven billion, nine hundred forty-four million, six hundred seventy-two thousand, nine hundred sixty".