9030457884672 has 1216 divisors, whose sum is σ = 32977232870400. Its totient is φ = 2384965140480.

The previous prime is 9030457884667. The next prime is 9030457884737. The reversal of 9030457884672 is 2764887540309.

9030457884672 is a `hidden beast` number, since 9 + 0 + 30 + 457 + 8 + 84 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1216).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49892032422 + ... + 49892032602.

Almost surely, 2^{9030457884672} 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 9030457884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16488616435200).

9030457884672 is an abundant number, since it is smaller than the sum of its proper divisors (23946774985728).

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

9030457884672 is an equidigital number, since it uses as much as digits as its factorization.

9030457884672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 9030457884672 in words is "nine trillion, thirty billion, four hundred fifty-seven million, eight hundred eighty-four thousand, six hundred seventy-two".