905868472320 has 1248 divisors, whose sum is σ = 3809797920000. Its totient is φ = 203556519936.

The previous prime is 905868472307. The next prime is 905868472331. The reversal of 905868472320 is 23274868509.

905868472320 is a `hidden beast` number, since 90 + 5 + 8 + 68 + 472 + 3 + 20 = 666.

905868472320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1815367431 + ... + 1815367929.

Almost surely, 2^905868472320 is an apocalyptic number.

905868472320 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 905868472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904898960000).

905868472320 is an abundant number, since it is smaller than the sum of its proper divisors (2903929447680).

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

905868472320 is a wasteful number, since it uses less digits than its factorization.

905868472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 905868472320 in words is "nine hundred five billion, eight hundred sixty-eight million, four hundred seventy-two thousand, three hundred twenty".