363049839768 has 256 divisors, whose sum is σ = 1185435648000. Its totient is φ = 89893440000.

The previous prime is 363049839767. The next prime is 363049839851. The reversal of 363049839768 is 867938940363.

363049839768 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 363049839699 and 363049839708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363049839767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4190893 + ... + 4276643.

It is an arithmetic number, because the mean of its divisors is an integer number (4630608000).

Almost surely, 2^363049839768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363049839768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592717824000).

363049839768 is an abundant number, since it is smaller than the sum of its proper divisors (822385808232).

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

363049839768 is a wasteful number, since it uses less digits than its factorization.

363049839768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85886 (or 85882 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 363049839768 in words is "three hundred sixty-three billion, forty-nine million, eight hundred thirty-nine thousand, seven hundred sixty-eight".