9240377328000 has 4608 divisors, whose sum is σ = 45097652920320. Its totient is φ = 1762725888000.

The previous prime is 9240377327989. The next prime is 9240377328047. The reversal of 9240377328000 is 8237730429.

9240377328000 is a `hidden beast` number, since 9 + 240 + 377 + 32 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 214892495979 + ... + 214892496021.

It is an arithmetic number, because the mean of its divisors is an integer number (9786817040).

Almost surely, 2^{9240377328000} is an apocalyptic number.

9240377328000 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 9240377328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22548826460160).

9240377328000 is an abundant number, since it is smaller than the sum of its proper divisors (35857275592320).

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

9240377328000 is a wasteful number, since it uses less digits than its factorization.

9240377328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 9240377328000 in words is "nine trillion, two hundred forty billion, three hundred seventy-seven million, three hundred twenty-eight thousand".