906124679040 has 256 divisors, whose sum is σ = 3314591216640. Its totient is φ = 206254080000.

The previous prime is 906124679029. The next prime is 906124679059. The reversal of 906124679040 is 40976421609.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3099165 + ... + 3378915.

It is an arithmetic number, because the mean of its divisors is an integer number (12947621940).

Almost surely, 2^906124679040 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 906124679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657295608320).

906124679040 is an abundant number, since it is smaller than the sum of its proper divisors (2408466537600).

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

906124679040 is a wasteful number, since it uses less digits than its factorization.

906124679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280021 (or 280009 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 906124679040 in words is "nine hundred six billion, one hundred twenty-four million, six hundred seventy-nine thousand, forty".