7987517460 has 384 divisors, whose sum is σ = 28016271360. Its totient is φ = 1876234752.

The previous prime is 7987517429. The next prime is 7987517479. The reversal of 7987517460 is 647157897.

7987517460 is a `hidden beast` number, since 7 + 9 + 87 + 517 + 46 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 7987517397 and 7987517406.

It is a congruent number.

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, 14187139 + ... + 14187701.

It is an arithmetic number, because the mean of its divisors is an integer number (72959040).

Almost surely, 2^7987517460 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 7987517460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14008135680).

7987517460 is an abundant number, since it is smaller than the sum of its proper divisors (20028753900).

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

7987517460 is a wasteful number, since it uses less digits than its factorization.

7987517460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 676 counting only the distinct ones).

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

The square root of 7987517460 is about 89372.9123392541. The cubic root of 7987517460 is about 1998.9592468437.

The spelling of 7987517460 in words is "seven billion, nine hundred eighty-seven million, five hundred seventeen thousand, four hundred sixty".