379974177273600 has 5400 divisors, whose sum is σ = 1843619301666912. Its totient is φ = 76609599897600.

The previous prime is 379974177273547. The next prime is 379974177273619. The reversal of 379974177273600 is 6372771479973.

379974177273600 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 7 + 4 + 1 + 7 + 7 + 2 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 372158841090 + ... + 372158842110.

Almost surely, 2^{379974177273600} is an apocalyptic number.

379974177273600 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 379974177273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921809650833456).

379974177273600 is an abundant number, since it is smaller than the sum of its proper divisors (1463645124393312).

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

379974177273600 is a wasteful number, since it uses less digits than its factorization.

379974177273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 588110544, while the sum is 72.

The spelling of 379974177273600 in words is "three hundred seventy-nine trillion, nine hundred seventy-four billion, one hundred seventy-seven million, two hundred seventy-three thousand, six hundred".