7987648032 has 384 divisors, whose sum is σ = 30188390400. Its totient is φ = 1995383808.

The previous prime is 7987648027. The next prime is 7987648061. The reversal of 7987648032 is 2308467897.

7987648032 is a `hidden beast` number, since 7 + 98 + 76 + 480 + 3 + 2 = 666.

It is a super-4 number, since 4×7987648032⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7987648032.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1491183 + ... + 1496529.

It is an arithmetic number, because the mean of its divisors is an integer number (78615600).

Almost surely, 2^7987648032 is an apocalyptic number.

7987648032 is a gapful number since it is divisible by the number (72) 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 7987648032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15094195200).

7987648032 is an abundant number, since it is smaller than the sum of its proper divisors (22200742368).

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

7987648032 is a wasteful number, since it uses less digits than its factorization.

7987648032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7987648032 is about 89373.6428260592. The cubic root of 7987648032 is about 1998.9701391176.

The spelling of 7987648032 in words is "seven billion, nine hundred eighty-seven million, six hundred forty-eight thousand, thirty-two".