764914445438976 has 1040 divisors, whose sum is σ = 2753673624092160. Its totient is φ = 206684796026880.

The previous prime is 764914445438947. The next prime is 764914445438999. The reversal of 764914445438976 is 679834544419467.

764914445438976 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 1 + 44 + 454 + 38 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 764914445438895 and 764914445438904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25902069331 + ... + 25902098861.

Almost surely, 2^{764914445438976} is an apocalyptic number.

764914445438976 is a gapful number since it is divisible by the number (76) 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 764914445438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376836812046080).

764914445438976 is an abundant number, since it is smaller than the sum of its proper divisors (1988759178653184).

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

764914445438976 is a wasteful number, since it uses less digits than its factorization.

764914445438976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30180 (or 30149 counting only the distinct ones).

The product of its digits is 17557585920, while the sum is 81.

The spelling of 764914445438976 in words is "seven hundred sixty-four trillion, nine hundred fourteen billion, four hundred forty-five million, four hundred thirty-eight thousand, nine hundred seventy-six".