380558021760 has 576 divisors, whose sum is σ = 1531895976000. Its totient is φ = 86800896000.

The previous prime is 380558021759. The next prime is 380558021783. The reversal of 380558021760 is 67120855083.

380558021760 is a `hidden beast` number, since 3 + 8 + 0 + 5 + 580 + 2 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169060635 + ... + 169062885.

It is an arithmetic number, because the mean of its divisors is an integer number (2659541625).

Almost surely, 2^380558021760 is an apocalyptic number.

380558021760 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 380558021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765947988000).

380558021760 is an abundant number, since it is smaller than the sum of its proper divisors (1151337954240).

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

380558021760 is a wasteful number, since it uses less digits than its factorization.

380558021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 380558021760 in words is "three hundred eighty billion, five hundred fifty-eight million, twenty-one thousand, seven hundred sixty".