379329096384000 has 5760 divisors, whose sum is σ = 1756151823089664. Its totient is φ = 79815352320000.

The previous prime is 379329096383999. The next prime is 379329096384053. The reversal of 379329096384000 is 483690923973.

379329096384000 is a `hidden beast` number, since 3 + 7 + 93 + 29 + 0 + 96 + 38 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2095740863910 + ... + 2095740864090.

Almost surely, 2^{379329096384000} is an apocalyptic number.

379329096384000 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 379329096384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878075911544832).

379329096384000 is an abundant number, since it is smaller than the sum of its proper divisors (1376822726705664).

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

379329096384000 is an frugal number, since it uses more digits than its factorization.

379329096384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 379329096384000 in words is "three hundred seventy-nine trillion, three hundred twenty-nine billion, ninety-six million, three hundred eighty-four thousand".