906214720320 has 672 divisors, whose sum is σ = 3956339600640. Its totient is φ = 191199191040.

The previous prime is 906214720259. The next prime is 906214720357. The reversal of 906214720320 is 23027412609.

906214720320 is a `hidden beast` number, since 9 + 0 + 621 + 4 + 7 + 2 + 0 + 3 + 20 = 666.

906214720320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10176790 + ... + 10265450.

It is an arithmetic number, because the mean of its divisors is an integer number (5887410120).

Almost surely, 2^906214720320 is an apocalyptic number.

906214720320 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 906214720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978169800320).

906214720320 is an abundant number, since it is smaller than the sum of its proper divisors (3050124880320).

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

906214720320 is a wasteful number, since it uses less digits than its factorization.

906214720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88720 (or 88691 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 906214720320 in words is "nine hundred six billion, two hundred fourteen million, seven hundred twenty thousand, three hundred twenty".