906621396480 has 320 divisors, whose sum is σ = 3227405575680. Its totient is φ = 241239416832.

The previous prime is 906621396451. The next prime is 906621396481. The reversal of 906621396480 is 84693126609.

906621396480 is a `hidden beast` number, since 9 + 0 + 6 + 62 + 13 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906621396481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32264997 + ... + 32293083.

It is an arithmetic number, because the mean of its divisors is an integer number (10085642424).

Almost surely, 2^906621396480 is an apocalyptic number.

906621396480 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 906621396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613702787840).

906621396480 is an abundant number, since it is smaller than the sum of its proper divisors (2320784179200).

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

906621396480 is a wasteful number, since it uses less digits than its factorization.

906621396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28586 (or 28564 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 906621396480 in words is "nine hundred six billion, six hundred twenty-one million, three hundred ninety-six thousand, four hundred eighty".