379345661452800 has 720 divisors, whose sum is σ = 1551844104370560. Its totient is φ = 86689046200320.

The previous prime is 379345661452799. The next prime is 379345661452837. The reversal of 379345661452800 is 8254166543973.

379345661452800 is a `hidden beast` number, since 3 + 7 + 9 + 3 + 4 + 5 + 6 + 614 + 5 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3966633784 + ... + 3966729416.

It is an arithmetic number, because the mean of its divisors is an integer number (2155339033848).

It is a 1-persistent number, because it is pandigital, but 2⋅379345661452800 = 758691322905600 is not.

Almost surely, 2^{379345661452800} is an apocalyptic number.

379345661452800 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 379345661452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775922052185280).

379345661452800 is an abundant number, since it is smaller than the sum of its proper divisors (1172498442917760).

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

379345661452800 is a wasteful number, since it uses less digits than its factorization.

379345661452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100593 (or 100569 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 379345661452800 in words is "three hundred seventy-nine trillion, three hundred forty-five billion, six hundred sixty-one million, four hundred fifty-two thousand, eight hundred".