764998940160 has 1600 divisors, whose sum is σ = 3425774736384. Its totient is φ = 158854348800.

The previous prime is 764998940141. The next prime is 764998940191. The reversal of 764998940160 is 61049899467.

764998940160 is a `hidden beast` number, since 7 + 6 + 4 + 99 + 89 + 401 + 60 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 1339752675 + ... + 1339753245.

Almost surely, 2^764998940160 is an apocalyptic number.

764998940160 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 764998940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712887368192).

764998940160 is an abundant number, since it is smaller than the sum of its proper divisors (2660775796224).

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

764998940160 is a wasteful number, since it uses less digits than its factorization.

764998940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 764998940160 in words is "seven hundred sixty-four billion, nine hundred ninety-eight million, nine hundred forty thousand, one hundred sixty".