379199620800 has 3360 divisors, whose sum is σ = 1946362091520. Its totient is φ = 69872025600.

The previous prime is 379199620673. The next prime is 379199620853. The reversal of 379199620800 is 8026991973.

379199620800 is a `hidden beast` number, since 3 + 7 + 9 + 1 + 9 + 9 + 620 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4799995161 + ... + 4799995239.

It is an arithmetic number, because the mean of its divisors is an integer number (579274432).

Almost surely, 2^379199620800 is an apocalyptic number.

379199620800 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 379199620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973181045760).

379199620800 is an abundant number, since it is smaller than the sum of its proper divisors (1567162470720).

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

379199620800 is a wasteful number, since it uses less digits than its factorization.

379199620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

It can be divided in two parts, 379199 and 620800, that added together give a palindrome (999999).

The spelling of 379199620800 in words is "three hundred seventy-nine billion, one hundred ninety-nine million, six hundred twenty thousand, eight hundred".