7963967416320 has 1152 divisors, whose sum is σ = 30400126848000. Its totient is φ = 1973262090240.

The previous prime is 7963967416283. The next prime is 7963967416337. The reversal of 7963967416320 is 236147693697.

7963967416320 is a `hidden beast` number, since 79 + 63 + 9 + 67 + 416 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44491437991 + ... + 44491438169.

It is an arithmetic number, because the mean of its divisors is an integer number (26388999000).

Almost surely, 2^{7963967416320} 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 7963967416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200063424000).

7963967416320 is an abundant number, since it is smaller than the sum of its proper divisors (22436159431680).

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

7963967416320 is a wasteful number, since it uses less digits than its factorization.

7963967416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 7963967416320 in words is "seven trillion, nine hundred sixty-three billion, nine hundred sixty-seven million, four hundred sixteen thousand, three hundred twenty".