764382670128 has 960 divisors, whose sum is σ = 2980033265664. Its totient is φ = 183731328000.

The previous prime is 764382670127. The next prime is 764382670133. The reversal of 764382670128 is 821076283467.

764382670128 is a `hidden beast` number, since 76 + 4 + 382 + 6 + 70 + 128 = 666.

764382670128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (764382670127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 213453298 + ... + 213456878.

Almost surely, 2^764382670128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764382670128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490016632832).

764382670128 is an abundant number, since it is smaller than the sum of its proper divisors (2215650595536).

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

764382670128 is a wasteful number, since it uses less digits than its factorization.

764382670128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 764382670128 in words is "seven hundred sixty-four billion, three hundred eighty-two million, six hundred seventy thousand, one hundred twenty-eight".