363828681892800 has 336 divisors, whose sum is σ = 1329192535940320. Its totient is φ = 96808676843520.

The previous prime is 363828681892799. The next prime is 363828681892813. The reversal of 363828681892800 is 8298186828363.

363828681892800 is a `hidden beast` number, since 3 + 6 + 382 + 8 + 6 + 81 + 8 + 92 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 10528002 + ... + 28956798.

Almost surely, 2^{363828681892800} is an apocalyptic number.

363828681892800 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 363828681892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664596267970160).

363828681892800 is an abundant number, since it is smaller than the sum of its proper divisors (965363854047520).

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

363828681892800 is a wasteful number, since it uses less digits than its factorization.

363828681892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18429285 (or 18429264 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 72.

The spelling of 363828681892800 in words is "three hundred sixty-three trillion, eight hundred twenty-eight billion, six hundred eighty-one million, eight hundred ninety-two thousand, eight hundred".