7956486720 has 504 divisors, whose sum is σ = 34291837944. Its totient is φ = 1678344192.

The previous prime is 7956486689. The next prime is 7956486757. The reversal of 7956486720 is 276846597.

7956486720 is a `hidden beast` number, since 7 + 9 + 564 + 8 + 6 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 354041856 + 7602444864 = 18816^2 + 87192^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1832392 + ... + 1836728.

It is an arithmetic number, because the mean of its divisors is an integer number (68039361).

Almost surely, 2^7956486720 is an apocalyptic number.

7956486720 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 7956486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17145918972).

7956486720 is an abundant number, since it is smaller than the sum of its proper divisors (26335351224).

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

7956486720 is a wasteful number, since it uses less digits than its factorization.

7956486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 7956486720 is about 89199.1408030369. The cubic root of 7956486720 is about 1996.3672990702.

The spelling of 7956486720 in words is "seven billion, nine hundred fifty-six million, four hundred eighty-six thousand, seven hundred twenty".