7968970141380 has 72 divisors (see below), whose sum is σ = 24173391879000. Its totient is φ = 2124984056832.

The previous prime is 7968970141373. The next prime is 7968970141409. The reversal of 7968970141380 is 831410798697.

7968970141380 is a `hidden beast` number, since 79 + 6 + 8 + 9 + 70 + 1 + 413 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585261720576 + 7383708420804 = 765024^2 + 2717298^2 .

It is a super-2 number, since 2×7968970141380² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4458546 + ... + 5984694.

It is an arithmetic number, because the mean of its divisors is an integer number (335741553875).

Almost surely, 2^{7968970141380} is an apocalyptic number.

It is an amenable number.

7968970141380 is an abundant number, since it is smaller than the sum of its proper divisors (16204421737620).

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

7968970141380 is a wasteful number, since it uses less digits than its factorization.

7968970141380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555173 (or 1555168 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 7968970141380 in words is "seven trillion, nine hundred sixty-eight billion, nine hundred seventy million, one hundred forty-one thousand, three hundred eighty".