7901372344320 has 960 divisors, whose sum is σ = 34856907845760. Its totient is φ = 1667086811136.

The previous prime is 7901372344277. The next prime is 7901372344361. The reversal of 7901372344320 is 234432731097.

7901372344320 is a `hidden beast` number, since 7 + 90 + 1 + 3 + 7 + 234 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75426699 + ... + 75531381.

It is an arithmetic number, because the mean of its divisors is an integer number (36309279006).

Almost surely, 2^{7901372344320} is an apocalyptic number.

7901372344320 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 7901372344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428453922880).

7901372344320 is an abundant number, since it is smaller than the sum of its proper divisors (26955535501440).

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

7901372344320 is a wasteful number, since it uses less digits than its factorization.

7901372344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104742 (or 104713 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 7901372344320 in words is "seven trillion, nine hundred one billion, three hundred seventy-two million, three hundred forty-four thousand, three hundred twenty".