7987697640 has 384 divisors, whose sum is σ = 28990765440. Its totient is φ = 1894606848.

The previous prime is 7987697569. The next prime is 7987697687. The reversal of 7987697640 is 467967897.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28224939 + ... + 28225221.

It is an arithmetic number, because the mean of its divisors is an integer number (75496785).

Almost surely, 2^7987697640 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 7987697640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495382720).

7987697640 is an abundant number, since it is smaller than the sum of its proper divisors (21003067800).

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

7987697640 is a wasteful number, since it uses less digits than its factorization.

7987697640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The square root of 7987697640 is about 89373.9203571154. The cubic root of 7987697640 is about 1998.9742773698.

The spelling of 7987697640 in words is "seven billion, nine hundred eighty-seven million, six hundred ninety-seven thousand, six hundred forty".