7985560320 has 432 divisors, whose sum is σ = 29080396800. Its totient is φ = 2020515840.

The previous prime is 7985560313. The next prime is 7985560337. The reversal of 7985560320 is 230655897.

It is a happy number.

7985560320 is a `hidden beast` number, since 7 + 9 + 85 + 560 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21069891 + ... + 21070269.

Almost surely, 2^7985560320 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 7985560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14540198400).

7985560320 is an abundant number, since it is smaller than the sum of its proper divisors (21094836480).

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

7985560320 is a wasteful number, since it uses less digits than its factorization.

7985560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 7985560320 is about 89361.9623777365. The cubic root of 7985560320 is about 1998.7959686330.

The spelling of 7985560320 in words is "seven billion, nine hundred eighty-five million, five hundred sixty thousand, three hundred twenty".