906768810864 has 1280 divisors, whose sum is σ = 3342643200000. Its totient is φ = 234430350336.

The previous prime is 906768810859. The next prime is 906768810931. The reversal of 906768810864 is 468018867609.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8803580637 + ... + 8803580739.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440000).

Almost surely, 2^906768810864 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 906768810864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671321600000).

906768810864 is an abundant number, since it is smaller than the sum of its proper divisors (2435874389136).

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

906768810864 is a wasteful number, since it uses less digits than its factorization.

906768810864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 906768810864 in words is "nine hundred six billion, seven hundred sixty-eight million, eight hundred ten thousand, eight hundred sixty-four".