7792424640 has 1792 divisors, whose sum is σ = 39818096640. Its totient is φ = 1380188160.

The previous prime is 7792424599. The next prime is 7792424677. The reversal of 7792424640 is 464242977.

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 255 ways as a sum of consecutive naturals, for example, 147026854 + ... + 147026906.

It is an arithmetic number, because the mean of its divisors is an integer number (22219920).

Almost surely, 2^7792424640 is an apocalyptic number.

7792424640 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 7792424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19909048320).

7792424640 is an abundant number, since it is smaller than the sum of its proper divisors (32025672000).

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

7792424640 is a wasteful number, since it uses less digits than its factorization.

7792424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7792424640 is about 88274.7112144809. The cubic root of 7792424640 is about 1982.5502492104.

The spelling of 7792424640 in words is "seven billion, seven hundred ninety-two million, four hundred twenty-four thousand, six hundred forty".