380645496979200 has 1296 divisors, whose sum is σ = 1427896192544640. Its totient is φ = 100318332764160.

The previous prime is 380645496979177. The next prime is 380645496979217. The reversal of 380645496979200 is 2979694546083.

380645496979200 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 4 + 549 + 6 + 9 + 79 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49071221722 + ... + 49071229478.

Almost surely, 2^{380645496979200} is an apocalyptic number.

380645496979200 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 380645496979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713948096272320).

380645496979200 is an abundant number, since it is smaller than the sum of its proper divisors (1047250695565440).

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

380645496979200 is a wasteful number, since it uses less digits than its factorization.

380645496979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8164 (or 8133 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 380645496979200 in words is "three hundred eighty trillion, six hundred forty-five billion, four hundred ninety-six million, nine hundred seventy-nine thousand, two hundred".