761216928768 has 352 divisors, whose sum is σ = 2277967104000. Its totient is φ = 251099136000.

The previous prime is 761216928763. The next prime is 761216928779. The reversal of 761216928768 is 867829612167.

761216928768 is a `hidden beast` number, since 7 + 612 + 1 + 6 + 9 + 2 + 8 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (761216928763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1589179153 + ... + 1589179631.

Almost surely, 2^761216928768 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 761216928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138983552000).

761216928768 is an abundant number, since it is smaller than the sum of its proper divisors (1516750175232).

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

761216928768 is a wasteful number, since it uses less digits than its factorization.

761216928768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 964 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 761216928768 in words is "seven hundred sixty-one billion, two hundred sixteen million, nine hundred twenty-eight thousand, seven hundred sixty-eight".