7965968613120 has 864 divisors, whose sum is σ = 34085837140992. Its totient is φ = 1741616971776.

The previous prime is 7965968613101. The next prime is 7965968613133. The reversal of 7965968613120 is 213168695697.

7965968613120 is a `hidden beast` number, since 7 + 9 + 6 + 5 + 9 + 6 + 8 + 613 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×7965968613120² (a number of 27 digits) contains 22 as substring.

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

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, 49997904 + ... + 50156976.

Almost surely, 2^{7965968613120} is an apocalyptic number.

7965968613120 is a gapful number since it is divisible by the number (70) 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 7965968613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17042918570496).

7965968613120 is an abundant number, since it is smaller than the sum of its proper divisors (26119868527872).

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

7965968613120 is a wasteful number, since it uses less digits than its factorization.

7965968613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159139 (or 159113 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 7965968613120 in words is "seven trillion, nine hundred sixty-five billion, nine hundred sixty-eight million, six hundred thirteen thousand, one hundred twenty".