7907324040 has 288 divisors, whose sum is σ = 32613010560. Its totient is φ = 1643040000.

The previous prime is 7907324027. The next prime is 7907324059. The reversal of 7907324040 is 404237097.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7907323986 and 7907324004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 173665 + ... + 214415.

It is an arithmetic number, because the mean of its divisors is an integer number (113239620).

Almost surely, 2^7907324040 is an apocalyptic number.

7907324040 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 7907324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16306505280).

7907324040 is an abundant number, since it is smaller than the sum of its proper divisors (24705686520).

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

7907324040 is a wasteful number, since it uses less digits than its factorization.

7907324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40793 (or 40779 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7907324040 is about 88923.1355722458. The cubic root of 7907324040 is about 1992.2469875681.

The spelling of 7907324040 in words is "seven billion, nine hundred seven million, three hundred twenty-four thousand, forty".