379794489984000 has 5632 divisors, whose sum is σ = 1853964134830080. Its totient is φ = 75332793139200.

The previous prime is 379794489983977. The next prime is 379794489984031. The reversal of 379794489984000 is 489984497973.

379794489984000 is a `hidden beast` number, since 3 + 7 + 9 + 7 + 9 + 4 + 489 + 98 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 433060991562 + ... + 433060992438.

Almost surely, 2^{379794489984000} is an apocalyptic number.

379794489984000 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 379794489984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926982067415040).

379794489984000 is an abundant number, since it is smaller than the sum of its proper divisors (1474169644846080).

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

379794489984000 is an equidigital number, since it uses as much as digits as its factorization.

379794489984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 81.

The spelling of 379794489984000 in words is "three hundred seventy-nine trillion, seven hundred ninety-four billion, four hundred eighty-nine million, nine hundred eighty-four thousand".