7904159172000 has 1536 divisors, whose sum is σ = 35851411814400. Its totient is φ = 1667522764800.

The previous prime is 7904159171929. The next prime is 7904159172023. The reversal of 7904159172000 is 2719514097.

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, 796063036 + ... + 796072964.

It is an arithmetic number, because the mean of its divisors is an integer number (23340762900).

Almost surely, 2^{7904159172000} is an apocalyptic number.

7904159172000 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 7904159172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17925705907200).

7904159172000 is an abundant number, since it is smaller than the sum of its proper divisors (27947252642400).

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

7904159172000 is an equidigital number, since it uses as much as digits as its factorization.

7904159172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9995 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 7904159172000 in words is "seven trillion, nine hundred four billion, one hundred fifty-nine million, one hundred seventy-two thousand".