7967432056320 has 1920 divisors, whose sum is σ = 33202749888000. Its totient is φ = 1826884730880.

The previous prime is 7967432056303. The next prime is 7967432056333. The reversal of 7967432056320 is 236502347697.

7967432056320 is a `hidden beast` number, since 7 + 9 + 6 + 74 + 3 + 2 + 0 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 12871456971 + ... + 12871457589.

It is an arithmetic number, because the mean of its divisors is an integer number (17293098900).

Almost surely, 2^{7967432056320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7967432056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601374944000).

7967432056320 is an abundant number, since it is smaller than the sum of its proper divisors (25235317831680).

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

7967432056320 is an equidigital number, since it uses as much as digits as its factorization.

7967432056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 7967432056320 in words is "seven trillion, nine hundred sixty-seven billion, four hundred thirty-two million, fifty-six thousand, three hundred twenty".