7665969957912 has 384 divisors, whose sum is σ = 26124942240000. Its totient is φ = 2071003479552.

The previous prime is 7665969957907. The next prime is 7665969957923. The reversal of 7665969957912 is 2197599695667.

7665969957912 is a `hidden beast` number, since 7 + 6 + 6 + 596 + 9 + 9 + 5 + 7 + 9 + 12 = 666.

It is a super-2 number, since 2×7665969957912² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105136764 + ... + 105209652.

It is an arithmetic number, because the mean of its divisors is an integer number (68033703750).

Almost surely, 2^{7665969957912} is an apocalyptic number.

7665969957912 is a gapful number since it is divisible by the number (72) 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 7665969957912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13062471120000).

7665969957912 is an abundant number, since it is smaller than the sum of its proper divisors (18458972282088).

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

7665969957912 is a wasteful number, since it uses less digits than its factorization.

7665969957912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73460 (or 73443 counting only the distinct ones).

The product of its digits is 3472081200, while the sum is 81.

The spelling of 7665969957912 in words is "seven trillion, six hundred sixty-five billion, nine hundred sixty-nine million, nine hundred fifty-seven thousand, nine hundred twelve".