761497583616 has 1224 divisors, whose sum is σ = 2971859814144. Its totient is φ = 189191946240.

The previous prime is 761497583599. The next prime is 761497583617. The reversal of 761497583616 is 616385794167.

761497583616 is a `hidden beast` number, since 7 + 6 + 1 + 4 + 9 + 7 + 5 + 8 + 3 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (761497583617) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33108590581 + ... + 33108590603.

Almost surely, 2^761497583616 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 761497583616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485929907072).

761497583616 is an abundant number, since it is smaller than the sum of its proper divisors (2210362230528).

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

761497583616 is an frugal number, since it uses more digits than its factorization.

761497583616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 46 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 761497583616 in words is "seven hundred sixty-one billion, four hundred ninety-seven million, five hundred eighty-three thousand, six hundred sixteen".