380617928640 has 896 divisors, whose sum is σ = 1548481536000. Its totient is φ = 87360602112.

The previous prime is 380617928617. The next prime is 380617928651. The reversal of 380617928640 is 46829716083.

380617928640 is a `hidden beast` number, since 380 + 61 + 7 + 92 + 86 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80928529 + ... + 80933231.

It is an arithmetic number, because the mean of its divisors is an integer number (1728216000).

Almost surely, 2^380617928640 is an apocalyptic number.

380617928640 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 380617928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774240768000).

380617928640 is an abundant number, since it is smaller than the sum of its proper divisors (1167863607360).

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

380617928640 is a wasteful number, since it uses less digits than its factorization.

380617928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4778 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 380617928640 in words is "three hundred eighty billion, six hundred seventeen million, nine hundred twenty-eight thousand, six hundred forty".