764827468416 has 384 divisors, whose sum is σ = 2563644695040. Its totient is φ = 216530012160.

The previous prime is 764827468409. The next prime is 764827468421. The reversal of 764827468416 is 614864728467.

764827468416 is a `hidden beast` number, since 7 + 6 + 482 + 74 + 6 + 84 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×764827468416² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12502095 + ... + 12563121.

It is an arithmetic number, because the mean of its divisors is an integer number (6676158060).

Almost surely, 2^764827468416 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 764827468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281822347520).

764827468416 is an abundant number, since it is smaller than the sum of its proper divisors (1798817226624).

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

764827468416 is a wasteful number, since it uses less digits than its factorization.

764827468416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61124 (or 61109 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 764827468416 in words is "seven hundred sixty-four billion, eight hundred twenty-seven million, four hundred sixty-eight thousand, four hundred sixteen".