380186223056640 has 9216 divisors, whose sum is σ = 1993761423360000. Its totient is φ = 67358702960640.

The previous prime is 380186223056527. The next prime is 380186223056707. The reversal of 380186223056640 is 46650322681083.

380186223056640 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 8 + 6 + 2 + 2 + 30 + 566 + 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 polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 2276564209837 + ... + 2276564210003.

It is an arithmetic number, because the mean of its divisors is an integer number (216336960000).

Almost surely, 2^{380186223056640} is an apocalyptic number.

380186223056640 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 380186223056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996880711680000).

380186223056640 is an abundant number, since it is smaller than the sum of its proper divisors (1613575200303360).

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

380186223056640 is a wasteful number, since it uses less digits than its factorization.

380186223056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 380186223056640 in words is "three hundred eighty trillion, one hundred eighty-six billion, two hundred twenty-three million, fifty-six thousand, six hundred forty".