7560319680 has 420 divisors, whose sum is σ = 28050061248. Its totient is φ = 1930936320.

The previous prime is 7560319603. The next prime is 7560319699. The reversal of 7560319680 is 869130657.

It is a happy number.

7560319680 is a `hidden beast` number, since 7 + 560 + 3 + 1 + 9 + 6 + 80 = 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 59 ways as a sum of consecutive naturals, for example, 77941392 + ... + 77941488.

Almost surely, 2^7560319680 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 7560319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14025030624).

7560319680 is an abundant number, since it is smaller than the sum of its proper divisors (20489741568).

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

7560319680 is an equidigital number, since it uses as much as digits as its factorization.

7560319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7560319680 is about 86950.0987923533. The cubic root of 7560319680 is about 1962.6674495983.

The spelling of 7560319680 in words is "seven billion, five hundred sixty million, three hundred nineteen thousand, six hundred eighty".