382770093736800 has 8640 divisors, whose sum is σ = 1934181962431488. Its totient is φ = 71484456960000.

The previous prime is 382770093736787. The next prime is 382770093736859. The reversal of 382770093736800 is 8637390077283.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 5243425941564 + ... + 5243425941636.

Almost surely, 2^{382770093736800} is an apocalyptic number.

382770093736800 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 382770093736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967090981215744).

382770093736800 is an abundant number, since it is smaller than the sum of its proper divisors (1551411868694688).

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

382770093736800 is a wasteful number, since it uses less digits than its factorization.

382770093736800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 382770093736800 in words is "three hundred eighty-two trillion, seven hundred seventy billion, ninety-three million, seven hundred thirty-six thousand, eight hundred".