7952664720 has 480 divisors, whose sum is σ = 33699093120. Its totient is φ = 1525063680.

The previous prime is 7952664653. The next prime is 7952664767. The reversal of 7952664720 is 274662597.

It is a super-2 number, since 2×7952664720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7952664720.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1679316 + ... + 1684044.

It is an arithmetic number, because the mean of its divisors is an integer number (70206444).

Almost surely, 2^7952664720 is an apocalyptic number.

7952664720 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 7952664720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16849546560).

7952664720 is an abundant number, since it is smaller than the sum of its proper divisors (25746428400).

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

7952664720 is a wasteful number, since it uses less digits than its factorization.

7952664720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 7952664720 is about 89177.7142564217. The cubic root of 7952664720 is about 1996.0475876971.

The spelling of 7952664720 in words is "seven billion, nine hundred fifty-two million, six hundred sixty-four thousand, seven hundred twenty".