768473475264 has 504 divisors, whose sum is σ = 2524873375440. Its totient is φ = 221557248000.

The previous prime is 768473475251. The next prime is 768473475269. The reversal of 768473475264 is 462574374867.

768473475264 is a `hidden beast` number, since 7 + 68 + 4 + 7 + 3 + 47 + 526 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (768473475269) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 371421622 + ... + 371423690.

Almost surely, 2^768473475264 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 768473475264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262436687720).

768473475264 is an abundant number, since it is smaller than the sum of its proper divisors (1756399900176).

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

768473475264 is a wasteful number, since it uses less digits than its factorization.

768473475264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2177 counting only the distinct ones).

The product of its digits is 189665280, while the sum is 63.

The spelling of 768473475264 in words is "seven hundred sixty-eight billion, four hundred seventy-three million, four hundred seventy-five thousand, two hundred sixty-four".