806464771003008 has 768 divisors, whose sum is σ = 2666685841223040. Its totient is φ = 241023134269440.

The previous prime is 806464771002893. The next prime is 806464771003043. The reversal of 806464771003008 is 800300177464608.

806464771003008 is a `hidden beast` number, since 8 + 0 + 6 + 464 + 77 + 100 + 3 + 0 + 0 + 8 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3763196916 + ... + 3763411212.

Almost surely, 2^{806464771003008} 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 806464771003008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333342920611520).

806464771003008 is an abundant number, since it is smaller than the sum of its proper divisors (1860221070220032).

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

806464771003008 is a wasteful number, since it uses less digits than its factorization.

806464771003008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214607 (or 214583 counting only the distinct ones).

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

The spelling of 806464771003008 in words is "eight hundred six trillion, four hundred sixty-four billion, seven hundred seventy-one million, three thousand, eight".