381660364800 has 1224 divisors, whose sum is σ = 1615073639088. Its totient is φ = 84934656000.

The previous prime is 381660364753. The next prime is 381660364817. The reversal of 381660364800 is 8463066183.

381660364800 is a `hidden beast` number, since 3 + 8 + 166 + 0 + 3 + 6 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2108620710 + ... + 2108620890.

Almost surely, 2^381660364800 is an apocalyptic number.

381660364800 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 381660364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807536819544).

381660364800 is an abundant number, since it is smaller than the sum of its proper divisors (1233413274288).

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

381660364800 is a wasteful number, since it uses less digits than its factorization.

381660364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 381660364800 in words is "three hundred eighty-one billion, six hundred sixty million, three hundred sixty-four thousand, eight hundred".