764415398016 has 320 divisors, whose sum is σ = 2415113415000. Its totient is φ = 239178645504.

The previous prime is 764415397969. The next prime is 764415398023. The reversal of 764415398016 is 610893514467.

764415398016 is a `hidden beast` number, since 7 + 64 + 41 + 539 + 8 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 598518849600 + 165896548416 = 773640^2 + 407304^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68558010 + ... + 68569158.

Almost surely, 2^764415398016 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 764415398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207556707500).

764415398016 is an abundant number, since it is smaller than the sum of its proper divisors (1650698016984).

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

764415398016 is a wasteful number, since it uses less digits than its factorization.

764415398016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11581 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 764415398016 in words is "seven hundred sixty-four billion, four hundred fifteen million, three hundred ninety-eight thousand, sixteen".