816958000768 has 128 divisors (see below), whose sum is σ = 2006036807040. Its totient is φ = 322721280000.

The previous prime is 816958000717. The next prime is 816958000783. The reversal of 816958000768 is 867000859618.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7998018 + ... + 8099518.

It is an arithmetic number, because the mean of its divisors is an integer number (15672162555).

Almost surely, 2^816958000768 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 816958000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003018403520).

816958000768 is an abundant number, since it is smaller than the sum of its proper divisors (1189078806272).

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

816958000768 is a wasteful number, since it uses less digits than its factorization.

816958000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102226 (or 102214 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 58.

The spelling of 816958000768 in words is "eight hundred sixteen billion, nine hundred fifty-eight million, seven hundred sixty-eight", and thus it is an aban number.