382787442576000 has 7680 divisors, whose sum is σ = 1921679968665600. Its totient is φ = 74462976000000.

The previous prime is 382787442575983. The next prime is 382787442576037. The reversal of 382787442576000 is 675244787283.

382787442576000 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 87 + 442 + 57 + 60 + 0 + 0 = 666.

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 959 ways as a sum of consecutive naturals, for example, 2004122735905 + ... + 2004122736095.

It is an arithmetic number, because the mean of its divisors is an integer number (250218745920).

Almost surely, 2^{382787442576000} is an apocalyptic number.

382787442576000 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 382787442576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960839984332800).

382787442576000 is an abundant number, since it is smaller than the sum of its proper divisors (1538892526089600).

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

382787442576000 is a wasteful number, since it uses less digits than its factorization.

382787442576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 382787442576000 in words is "three hundred eighty-two trillion, seven hundred eighty-seven billion, four hundred forty-two million, five hundred seventy-six thousand".