763612375680 has 3072 divisors, whose sum is σ = 3757044695040. Its totient is φ = 144521625600.

The previous prime is 763612375651. The next prime is 763612375717. The reversal of 763612375680 is 86573216367.

763612375680 is a `hidden beast` number, since 7 + 6 + 36 + 12 + 37 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24632657265 + ... + 24632657295.

It is an arithmetic number, because the mean of its divisors is an integer number (1222996320).

Almost surely, 2^763612375680 is an apocalyptic number.

763612375680 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 763612375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878522347520).

763612375680 is an abundant number, since it is smaller than the sum of its proper divisors (2993432319360).

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

763612375680 is a wasteful number, since it uses less digits than its factorization.

763612375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 763612375680 in words is "seven hundred sixty-three billion, six hundred twelve million, three hundred seventy-five thousand, six hundred eighty".