806768971008 has 1152 divisors, whose sum is σ = 2998949474304. Its totient is φ = 185794560000.

The previous prime is 806768970949. The next prime is 806768971031. The reversal of 806768971008 is 800179867608.

806768971008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3214218883 + ... + 3214219133.

It is an arithmetic number, because the mean of its divisors is an integer number (2603254752).

Almost surely, 2^806768971008 is an apocalyptic number.

806768971008 is a gapful number since it is divisible by the number (88) 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 806768971008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499474737152).

806768971008 is an abundant number, since it is smaller than the sum of its proper divisors (2192180503296).

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

806768971008 is a wasteful number, since it uses less digits than its factorization.

806768971008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 60.

The spelling of 806768971008 in words is "eight hundred six billion, seven hundred sixty-eight million, nine hundred seventy-one thousand, eight".