8994057600 has 384 divisors, whose sum is σ = 32947534080. Its totient is φ = 2137907200.

The previous prime is 8994057599. The next prime is 8994057617. The reversal of 8994057600 is 67504998.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8994057600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8994057600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5595997 + ... + 5597603.

It is an arithmetic number, because the mean of its divisors is an integer number (85800870).

Almost surely, 2^8994057600 is an apocalyptic number.

8994057600 is a gapful number since it is divisible by the number (80) 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 8994057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16473767040).

8994057600 is an abundant number, since it is smaller than the sum of its proper divisors (23953476480).

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

8994057600 is a wasteful number, since it uses less digits than its factorization.

8994057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 8994057600 is about 94837.0054356421. The cubic root of 8994057600 is about 2079.6259189201.

The spelling of 8994057600 in words is "eight billion, nine hundred ninety-four million, fifty-seven thousand, six hundred".