764688133440 has 1680 divisors, whose sum is σ = 3479122238592. Its totient is φ = 156017664000.

The previous prime is 764688133393. The next prime is 764688133481. The reversal of 764688133440 is 44331886467.

764688133440 is a `hidden beast` number, since 7 + 6 + 4 + 68 + 8 + 133 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1339208355 + ... + 1339208925.

Almost surely, 2^764688133440 is an apocalyptic number.

764688133440 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 764688133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739561119296).

764688133440 is an abundant number, since it is smaller than the sum of its proper divisors (2714434105152).

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

764688133440 is a wasteful number, since it uses less digits than its factorization.

764688133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 764688133440 in words is "seven hundred sixty-four billion, six hundred eighty-eight million, one hundred thirty-three thousand, four hundred forty".