761636813124096 has 4800 divisors, whose sum is σ = 3139327264195584. Its totient is φ = 181394944819200.

The previous prime is 761636813124043. The next prime is 761636813124107. The reversal of 761636813124096 is 690421318636167.

It is a happy number.

761636813124096 is a `hidden beast` number, since 7 + 6 + 16 + 368 + 13 + 1 + 240 + 9 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3160318726536 + ... + 3160318726776.

Almost surely, 2^{761636813124096} 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 761636813124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569663632097792).

761636813124096 is an abundant number, since it is smaller than the sum of its proper divisors (2377690451071488).

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

761636813124096 is a wasteful number, since it uses less digits than its factorization.

761636813124096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 761636813124096 in words is "seven hundred sixty-one trillion, six hundred thirty-six billion, eight hundred thirteen million, one hundred twenty-four thousand, ninety-six".