363828640896 has 480 divisors, whose sum is σ = 1269665971200. Its totient is φ = 103114238976.

The previous prime is 363828640867. The next prime is 363828640913. The reversal of 363828640896 is 698046828363.

363828640896 is a `hidden beast` number, since 3 + 63 + 8 + 2 + 86 + 408 + 96 = 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 59 ways as a sum of consecutive naturals, for example, 64517245 + ... + 64522883.

It is an arithmetic number, because the mean of its divisors is an integer number (2645137440).

Almost surely, 2^363828640896 is an apocalyptic number.

363828640896 is a gapful number since it is divisible by the number (36) 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 363828640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634832985600).

363828640896 is an abundant number, since it is smaller than the sum of its proper divisors (905837330304).

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

363828640896 is a wasteful number, since it uses less digits than its factorization.

363828640896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 363828640896 in words is "three hundred sixty-three billion, eight hundred twenty-eight million, six hundred forty thousand, eight hundred ninety-six".