380946550915584 has 640 divisors, whose sum is σ = 1170753764463360. Its totient is φ = 123740849111040.

The previous prime is 380946550915583. The next prime is 380946550915663. The reversal of 380946550915584 is 485519055649083.

380946550915584 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 4 + 6 + 550 + 9 + 15 + 58 + 4 = 666.

It is a super-2 number, since 2×380946550915584² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (380946550915583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43751752959 + ... + 43751761665.

It is an arithmetic number, because the mean of its divisors is an integer number (1829302756974).

Almost surely, 2^{380946550915584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380946550915584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585376882231680).

380946550915584 is an abundant number, since it is smaller than the sum of its proper divisors (789807213547776).

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

380946550915584 is an frugal number, since it uses more digits than its factorization.

380946550915584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9740 (or 9706 counting only the distinct ones).

The product of its (nonzero) digits is 933120000, while the sum is 72.

The spelling of 380946550915584 in words is "three hundred eighty trillion, nine hundred forty-six billion, five hundred fifty million, nine hundred fifteen thousand, five hundred eighty-four".