7984076040 has 192 divisors, whose sum is σ = 27778383360. Its totient is φ = 2060328960.

The previous prime is 7984076029. The next prime is 7984076077. The reversal of 7984076040 is 406704897.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288072 + ... + 314568.

It is an arithmetic number, because the mean of its divisors is an integer number (144679080).

Almost surely, 2^7984076040 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 7984076040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889191680).

7984076040 is an abundant number, since it is smaller than the sum of its proper divisors (19794307320).

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

7984076040 is a wasteful number, since it uses less digits than its factorization.

7984076040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26554 (or 26538 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7984076040 is about 89353.6571159793. The cubic root of 7984076040 is about 1998.6721218983.

The spelling of 7984076040 in words is "seven billion, nine hundred eighty-four million, seventy-six thousand, forty".