7938152640 has 672 divisors, whose sum is σ = 31496325120. Its totient is φ = 1817395200.

The previous prime is 7938152623. The next prime is 7938152681. The reversal of 7938152640 is 462518397.

7938152640 is a `hidden beast` number, since 7 + 9 + 3 + 81 + 526 + 40 = 666.

7938152640 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

7938152640 is strictly pandigital in base 10.

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, 57942652 + ... + 57942788.

It is a 1-persistent number, because it is pandigital, but 2⋅7938152640 = 15876305280 is not.

Almost surely, 2^7938152640 is an apocalyptic number.

7938152640 is the 72747-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7938152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748162560).

7938152640 is an abundant number, since it is smaller than the sum of its proper divisors (23558172480).

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

7938152640 is a wasteful number, since it uses less digits than its factorization.

7938152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7938152640 is about 89096.3110347449. The cubic root of 7938152640 is about 1994.8327144107.

The spelling of 7938152640 in words is "seven billion, nine hundred thirty-eight million, one hundred fifty-two thousand, six hundred forty".