761613420960 has 288 divisors, whose sum is σ = 3100855504320. Its totient is φ = 174083019264.

The previous prime is 761613420949. The next prime is 761613421061. The reversal of 761613420960 is 69024316167.

761613420960 is a `hidden beast` number, since 7 + 6 + 1 + 613 + 4 + 20 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×761613420960³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1587294 + ... + 2010653.

It is an arithmetic number, because the mean of its divisors is an integer number (10766859390).

Almost surely, 2^761613420960 is an apocalyptic number.

761613420960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

761613420960 is an abundant number, since it is smaller than the sum of its proper divisors (2339242083360).

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

761613420960 is a wasteful number, since it uses less digits than its factorization.

761613420960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597985 (or 3597964 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 761613420960 in words is "seven hundred sixty-one billion, six hundred thirteen million, four hundred twenty thousand, nine hundred sixty".