761689613905920 has 6240 divisors, whose sum is σ = 3580718804974080. Its totient is φ = 153623860346880.

The previous prime is 761689613905853. The next prime is 761689613905931. The reversal of 761689613905920 is 29509316986167.

761689613905920 is a `hidden beast` number, since 7 + 6 + 1 + 68 + 96 + 1 + 390 + 5 + 92 + 0 = 666.

It is a super-2 number, since 2×761689613905920² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1456385494779 + ... + 1456385495301.

Almost surely, 2^{761689613905920} is an apocalyptic number.

761689613905920 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 761689613905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790359402487040).

761689613905920 is an abundant number, since it is smaller than the sum of its proper divisors (2819029191068160).

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

761689613905920 is a wasteful number, since it uses less digits than its factorization.

761689613905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 761689613905920 in words is "seven hundred sixty-one trillion, six hundred eighty-nine billion, six hundred thirteen million, nine hundred five thousand, nine hundred twenty".