380454725649600 has 2016 divisors, whose sum is σ = 1651283947063296. Its totient is φ = 84354446131200.

The previous prime is 380454725649521. The next prime is 380454725649667. The reversal of 380454725649600 is 6946527454083.

380454725649600 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 5 + 4 + 7 + 2 + 564 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×380454725649600² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14454404440 + ... + 14454430760.

It is an arithmetic number, because the mean of its divisors is an integer number (819089259456).

Almost surely, 2^{380454725649600} is an apocalyptic number.

380454725649600 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 380454725649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825641973531648).

380454725649600 is an abundant number, since it is smaller than the sum of its proper divisors (1270829221413696).

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

380454725649600 is a wasteful number, since it uses less digits than its factorization.

380454725649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26525 (or 26498 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 380454725649600 in words is "three hundred eighty trillion, four hundred fifty-four billion, seven hundred twenty-five million, six hundred forty-nine thousand, six hundred".