7913518560 has 288 divisors, whose sum is σ = 28767184992. Its totient is φ = 2052864000.

The previous prime is 7913518477. The next prime is 7913518573. The reversal of 7913518560 is 658153197.

It is a happy number.

7913518560 is a `hidden beast` number, since 79 + 1 + 3 + 5 + 18 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 1435810 + ... + 1441310.

It is an arithmetic number, because the mean of its divisors is an integer number (99886059).

Almost surely, 2^7913518560 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 7913518560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14383592496).

7913518560 is an abundant number, since it is smaller than the sum of its proper divisors (20853666432).

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

7913518560 is a wasteful number, since it uses less digits than its factorization.

7913518560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5568 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 7913518560 is about 88957.9595089726. The cubic root of 7913518560 is about 1992.7670873532.

The spelling of 7913518560 in words is "seven billion, nine hundred thirteen million, five hundred eighteen thousand, five hundred sixty".