906579378432 has 864 divisors, whose sum is σ = 3535598371200. Its totient is φ = 226492858368.

The previous prime is 906579378421. The next prime is 906579378457. The reversal of 906579378432 is 234873975609.

906579378432 is a `hidden beast` number, since 9 + 0 + 65 + 79 + 3 + 78 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a self number, because there is not a number n which added to its sum of digits gives 906579378432.

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, 83650518 + ... + 83661354.

Almost surely, 2^906579378432 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 906579378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767799185600).

906579378432 is an abundant number, since it is smaller than the sum of its proper divisors (2629018992768).

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

906579378432 is a wasteful number, since it uses less digits than its factorization.

906579378432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10908 (or 10881 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 906579378432 in words is "nine hundred six billion, five hundred seventy-nine million, three hundred seventy-eight thousand, four hundred thirty-two".