906125823680 has 672 divisors, whose sum is σ = 2944532445696. Its totient is φ = 257126400000.

The previous prime is 906125823677. The next prime is 906125823719. The reversal of 906125823680 is 86328521609.

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, 402542555 + ... + 402544805.

Almost surely, 2^906125823680 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 906125823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472266222848).

906125823680 is an abundant number, since it is smaller than the sum of its proper divisors (2038406622016).

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

906125823680 is a wasteful number, since it uses less digits than its factorization.

906125823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 906125823680 in words is "nine hundred six billion, one hundred twenty-five million, eight hundred twenty-three thousand, six hundred eighty".