7913561760 has 768 divisors, whose sum is σ = 31853606400. Its totient is φ = 1820786688.

The previous prime is 7913561759. The next prime is 7913561771. The reversal of 7913561760 is 671653197.

7913561760 is a `hidden beast` number, since 7 + 9 + 13 + 561 + 76 + 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 127 ways as a sum of consecutive naturals, for example, 70031464 + ... + 70031576.

It is an arithmetic number, because the mean of its divisors is an integer number (41476050).

Almost surely, 2^7913561760 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 7913561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15926803200).

7913561760 is an abundant number, since it is smaller than the sum of its proper divisors (23940044640).

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

7913561760 is a wasteful number, since it uses less digits than its factorization.

7913561760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 7913561760 is about 88958.2023199660. The cubic root of 7913561760 is about 1992.7707135270.

The spelling of 7913561760 in words is "seven billion, nine hundred thirteen million, five hundred sixty-one thousand, seven hundred sixty".