380071359233280 has 5760 divisors, whose sum is σ = 1763387037941760. Its totient is φ = 76751732736000.

The previous prime is 380071359233257. The next prime is 380071359233281. The reversal of 380071359233280 is 82332953170083.

380071359233280 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 7 + 1 + 359 + 2 + 3 + 3 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380071359233281) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 620018530254 + ... + 620018530866.

It is an arithmetic number, because the mean of its divisors is an integer number (306143582976).

Almost surely, 2^{380071359233280} is an apocalyptic number.

380071359233280 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 380071359233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881693518970880).

380071359233280 is an abundant number, since it is smaller than the sum of its proper divisors (1383315678708480).

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

380071359233280 is a wasteful number, since it uses less digits than its factorization.

380071359233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 380071359233280 in words is "three hundred eighty trillion, seventy-one billion, three hundred fifty-nine million, two hundred thirty-three thousand, two hundred eighty".