7970959467216 has 160 divisors (see below), whose sum is σ = 23173068019200. Its totient is φ = 2622918205440.

The previous prime is 7970959467193. The next prime is 7970959467239. The reversal of 7970959467216 is 6127649590797.

7970959467216 is a `hidden beast` number, since 7 + 9 + 7 + 0 + 9 + 594 + 6 + 7 + 21 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7970959467193) and next prime (7970959467239).

It is a super-3 number, since 3×7970959467216³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254476836 + ... + 254508156.

It is an arithmetic number, because the mean of its divisors is an integer number (144831675120).

Almost surely, 2^{7970959467216} 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 7970959467216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11586534009600).

7970959467216 is an abundant number, since it is smaller than the sum of its proper divisors (15202108551984).

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

7970959467216 is a wasteful number, since it uses less digits than its factorization.

7970959467216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38874 (or 38862 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 7970959467216 in words is "seven trillion, nine hundred seventy billion, nine hundred fifty-nine million, four hundred sixty-seven thousand, two hundred sixteen".