761317510464 has 448 divisors, whose sum is σ = 2704536729600. Its totient is φ = 205149044736.

The previous prime is 761317510411. The next prime is 761317510487. The reversal of 761317510464 is 464015713167.

It is a happy number.

761317510464 is a `hidden beast` number, since 7 + 6 + 1 + 3 + 175 + 10 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52162752 + ... + 52177344.

Almost surely, 2^761317510464 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 761317510464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352268364800).

761317510464 is an abundant number, since it is smaller than the sum of its proper divisors (1943219219136).

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

761317510464 is a wasteful number, since it uses less digits than its factorization.

761317510464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14867 (or 14851 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 761317510464 in words is "seven hundred sixty-one billion, three hundred seventeen million, five hundred ten thousand, four hundred sixty-four".