960007699074816 has 432 divisors, whose sum is σ = 3457485064470528. Its totient is φ = 249825801830400.

The previous prime is 960007699074779. The next prime is 960007699074871. The reversal of 960007699074816 is 618470996700069.

960007699074816 is a `hidden beast` number, since 9 + 600 + 0 + 7 + 6 + 9 + 9 + 0 + 7 + 4 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×960007699074816² (a number of 31 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 47975200 + ... + 64974111.

Almost surely, 2^{960007699074816} is an apocalyptic number.

960007699074816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

960007699074816 is an abundant number, since it is smaller than the sum of its proper divisors (2497477365395712).

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

960007699074816 is a wasteful number, since it uses less digits than its factorization.

960007699074816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112949388 (or 112949371 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 960007699074816 in words is "nine hundred sixty trillion, seven billion, six hundred ninety-nine million, seventy-four thousand, eight hundred sixteen".