380684043264000 has 1792 divisors, whose sum is σ = 1479352324829184. Its totient is φ = 85136375808000.

The previous prime is 380684043263983. The next prime is 380684043264089. The reversal of 380684043264000 is 462340486083.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 234845183190 + ... + 234845184810.

Almost surely, 2^{380684043264000} is an apocalyptic number.

380684043264000 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 380684043264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739676162414592).

380684043264000 is an abundant number, since it is smaller than the sum of its proper divisors (1098668281565184).

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

380684043264000 is a wasteful number, since it uses less digits than its factorization.

380684043264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 380684043264000 in words is "three hundred eighty trillion, six hundred eighty-four billion, forty-three million, two hundred sixty-four thousand".