7987714560 has 400 divisors, whose sum is σ = 32702478336. Its totient is φ = 1825431552.

The previous prime is 7987714523. The next prime is 7987714613. The reversal of 7987714560 is 654177897.

7987714560 is a `hidden beast` number, since 7 + 9 + 8 + 7 + 71 + 4 + 560 = 666.

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 = 7987714497 and 7987714506.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1448769 + ... + 1454271.

Almost surely, 2^7987714560 is an apocalyptic number.

7987714560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7987714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16351239168).

7987714560 is an abundant number, since it is smaller than the sum of its proper divisors (24714763776).

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

7987714560 is an equidigital number, since it uses as much as digits as its factorization.

7987714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5545 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The square root of 7987714560 is about 89374.0150155514. The cubic root of 7987714560 is about 1998.9756888162.

The spelling of 7987714560 in words is "seven billion, nine hundred eighty-seven million, seven hundred fourteen thousand, five hundred sixty".