7958607460272 has 480 divisors, whose sum is σ = 27943605780480. Its totient is φ = 2062017699840.

The previous prime is 7958607460267. The next prime is 7958607460313. The reversal of 7958607460272 is 2720647068597.

7958607460272 is a `hidden beast` number, since 7 + 9 + 586 + 0 + 7 + 46 + 0 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 121615753 + ... + 121681175.

It is an arithmetic number, because the mean of its divisors is an integer number (58215845376).

Almost surely, 2^{7958607460272} is an apocalyptic number.

7958607460272 is a gapful number since it is divisible by the number (72) 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 7958607460272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13971802890240).

7958607460272 is an abundant number, since it is smaller than the sum of its proper divisors (19984998320208).

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

7958607460272 is a wasteful number, since it uses less digits than its factorization.

7958607460272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65721 (or 65712 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 7958607460272 in words is "seven trillion, nine hundred fifty-eight billion, six hundred seven million, four hundred sixty thousand, two hundred seventy-two".