376889408248320 has 1280 divisors, whose sum is σ = 1520028289105920. Its totient is φ = 88419133440000.

The previous prime is 376889408248307. The next prime is 376889408248357. The reversal of 376889408248320 is 23842804988673.

376889408248320 is a `hidden beast` number, since 3 + 7 + 6 + 8 + 8 + 9 + 40 + 82 + 483 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2851894245 + ... + 2852026395.

It is an arithmetic number, because the mean of its divisors is an integer number (1187522100864).

Almost surely, 2^{376889408248320} is an apocalyptic number.

376889408248320 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 376889408248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760014144552960).

376889408248320 is an abundant number, since it is smaller than the sum of its proper divisors (1143138880857600).

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

376889408248320 is a wasteful number, since it uses less digits than its factorization.

376889408248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132247 (or 132203 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 376889408248320 in words is "three hundred seventy-six trillion, eight hundred eighty-nine billion, four hundred eight million, two hundred forty-eight thousand, three hundred twenty".