905880672000 has 864 divisors, whose sum is σ = 3418042240704. Its totient is φ = 238878720000.

The previous prime is 905880671987. The next prime is 905880672113. The reversal of 905880672000 is 276088509.

905880672000 is a `hidden beast` number, since 9 + 0 + 588 + 0 + 67 + 2 + 0 + 0 + 0 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 754271400 + ... + 754272600.

Almost surely, 2^905880672000 is an apocalyptic number.

905880672000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905880672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709021120352).

905880672000 is an abundant number, since it is smaller than the sum of its proper divisors (2512161568704).

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

905880672000 is an equidigital number, since it uses as much as digits as its factorization.

905880672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 905880672000 in words is "nine hundred five billion, eight hundred eighty million, six hundred seventy-two thousand".