380904717473280 has 11520 divisors, whose sum is σ = 2026271610316800. Its totient is φ = 66952927641600.

The previous prime is 380904717473279. The next prime is 380904717473309. The reversal of 380904717473280 is 82374717409083.

380904717473280 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 0 + 471 + 74 + 73 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (11520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 5364855175645 + ... + 5364855175715.

It is an arithmetic number, because the mean of its divisors is an integer number (175891632840).

Almost surely, 2^{380904717473280} is an apocalyptic number.

380904717473280 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 380904717473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013135805158400).

380904717473280 is an abundant number, since it is smaller than the sum of its proper divisors (1645366892843520).

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

380904717473280 is a wasteful number, since it uses less digits than its factorization.

380904717473280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 380904717473280 in words is "three hundred eighty trillion, nine hundred four billion, seven hundred seventeen million, four hundred seventy-three thousand, two hundred eighty".