906401793792 has 576 divisors, whose sum is σ = 2944549117440. Its totient is φ = 243951206400.

The previous prime is 906401793779. The next prime is 906401793799. The reversal of 906401793792 is 297397104609.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906401793799) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963232042 + ... + 963232982.

It is an arithmetic number, because the mean of its divisors is an integer number (5112064440).

Almost surely, 2^906401793792 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 906401793792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472274558720).

906401793792 is an abundant number, since it is smaller than the sum of its proper divisors (2038147323648).

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

906401793792 is a wasteful number, since it uses less digits than its factorization.

906401793792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 57.

The spelling of 906401793792 in words is "nine hundred six billion, four hundred one million, seven hundred ninety-three thousand, seven hundred ninety-two".