379140652800 has 3024 divisors, whose sum is σ = 1861624181760. Its totient is φ = 74171842560.

The previous prime is 379140652741. The next prime is 379140652811. The reversal of 379140652800 is 8256041973.

379140652800 is a `hidden beast` number, since 37 + 91 + 4 + 0 + 6 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×379140652800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 8066822377 + ... + 8066822423.

It is a 1-persistent number, because it is pandigital, but 2⋅379140652800 = 758281305600 is not.

Almost surely, 2^379140652800 is an apocalyptic number.

379140652800 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 379140652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930812090880).

379140652800 is an abundant number, since it is smaller than the sum of its proper divisors (1482483528960).

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

379140652800 is a wasteful number, since it uses less digits than its factorization.

379140652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 379140652800 in words is "three hundred seventy-nine billion, one hundred forty million, six hundred fifty-two thousand, eight hundred".