764916728940 has 768 divisors, whose sum is σ = 3006465638400. Its totient is φ = 157151591424.

The previous prime is 764916728929. The next prime is 764916728963. The reversal of 764916728940 is 49827619467.

764916728940 is a `hidden beast` number, since 7 + 6 + 491 + 67 + 2 + 89 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 524273931 + ... + 524275389.

It is an arithmetic number, because the mean of its divisors is an integer number (3914668800).

Almost surely, 2^764916728940 is an apocalyptic number.

764916728940 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 764916728940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503232819200).

764916728940 is an abundant number, since it is smaller than the sum of its proper divisors (2241548909460).

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

764916728940 is a wasteful number, since it uses less digits than its factorization.

764916728940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

It can be divided in two parts, 764916 and 728940, that added together give a triangular number (1493856 = T₁₇₂₈).

The spelling of 764916728940 in words is "seven hundred sixty-four billion, nine hundred sixteen million, seven hundred twenty-eight thousand, nine hundred forty".