389772864000 has 640 divisors, whose sum is σ = 1550735746560. Its totient is φ = 95938560000.

The previous prime is 389772863981. The next prime is 389772864031. The reversal of 389772864000 is 468277983.

389772864000 is a `hidden beast` number, since 3 + 8 + 97 + 72 + 86 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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, 22455325 + ... + 22472675.

It is an arithmetic number, because the mean of its divisors is an integer number (2423024604).

Almost surely, 2^389772864000 is an apocalyptic number.

389772864000 is a gapful number since it is divisible by the number (30) 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 389772864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775367873280).

389772864000 is an abundant number, since it is smaller than the sum of its proper divisors (1160962882560).

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

389772864000 is a wasteful number, since it uses less digits than its factorization.

389772864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17406 (or 17374 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 389772864000 in words is "three hundred eighty-nine billion, seven hundred seventy-two million, eight hundred sixty-four thousand".