9057463682400 has 1296 divisors, whose sum is σ = 39427938950400. Its totient is φ = 1946598635520.

The previous prime is 9057463682369. The next prime is 9057463682401. The reversal of 9057463682400 is 42863647509.

9057463682400 is a `hidden beast` number, since 9 + 0 + 574 + 6 + 3 + 68 + 2 + 4 + 0 + 0 = 666.

9057463682400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9057463682401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 478740141 + ... + 478759059.

It is an arithmetic number, because the mean of its divisors is an integer number (30422792400).

Almost surely, 2^{9057463682400} is an apocalyptic number.

9057463682400 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 9057463682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713969475200).

9057463682400 is an abundant number, since it is smaller than the sum of its proper divisors (30370475268000).

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

9057463682400 is a wasteful number, since it uses less digits than its factorization.

9057463682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19041 (or 19018 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 9057463682400 in words is "nine trillion, fifty-seven billion, four hundred sixty-three million, six hundred eighty-two thousand, four hundred".