7993870560 has 480 divisors, whose sum is σ = 32180524992. Its totient is φ = 1851310080.

The previous prime is 7993870553. The next prime is 7993870607. The reversal of 7993870560 is 650783997.

7993870560 is a `hidden beast` number, since 7 + 9 + 9 + 3 + 8 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7993870497 and 7993870506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2862765 + ... + 2865555.

Almost surely, 2^7993870560 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 7993870560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090262496).

7993870560 is an abundant number, since it is smaller than the sum of its proper divisors (24186654432).

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

7993870560 is a wasteful number, since it uses less digits than its factorization.

7993870560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 7993870560 is about 89408.4479230011. The cubic root of 7993870560 is about 1999.4890828263.

The spelling of 7993870560 in words is "seven billion, nine hundred ninety-three million, eight hundred seventy thousand, five hundred sixty".