363784790016 has 252 divisors, whose sum is σ = 1088541632412. Its totient is φ = 117060206592.

The previous prime is 363784789783. The next prime is 363784790107. The reversal of 363784790016 is 610097487363.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 62002315 + ... + 62008181.

Almost surely, 2^363784790016 is an apocalyptic number.

363784790016 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 363784790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544270816206).

363784790016 is an abundant number, since it is smaller than the sum of its proper divisors (724756842396).

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

363784790016 is an equidigital number, since it uses as much as digits as its factorization.

363784790016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 363784790016 in words is "three hundred sixty-three billion, seven hundred eighty-four million, seven hundred ninety thousand, sixteen".