7946373120 has 288 divisors, whose sum is σ = 29578348800. Its totient is φ = 1815969792.

The previous prime is 7946373119. The next prime is 7946373137. The reversal of 7946373120 is 213736497.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1502641 + ... + 1507919.

It is an arithmetic number, because the mean of its divisors is an integer number (102702600).

Almost surely, 2^7946373120 is an apocalyptic number.

7946373120 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 7946373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789174400).

7946373120 is an abundant number, since it is smaller than the sum of its proper divisors (21631975680).

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

7946373120 is a wasteful number, since it uses less digits than its factorization.

7946373120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5323 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 7946373120 is about 89142.4316473362. The cubic root of 7946373120 is about 1995.5210704158.

The spelling of 7946373120 in words is "seven billion, nine hundred forty-six million, three hundred seventy-three thousand, one hundred twenty".