363739440960 has 672 divisors, whose sum is σ = 1478855169792. Its totient is φ = 80338452480.

The previous prime is 363739440931. The next prime is 363739440973. The reversal of 363739440960 is 69044937363.

363739440960 is a `hidden beast` number, since 363 + 73 + 94 + 40 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 363739440897 and 363739440906.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 71585620 + ... + 71590700.

It is an arithmetic number, because the mean of its divisors is an integer number (2200677336).

Almost surely, 2^363739440960 is an apocalyptic number.

363739440960 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 363739440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739427584896).

363739440960 is an abundant number, since it is smaller than the sum of its proper divisors (1115115728832).

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

363739440960 is a wasteful number, since it uses less digits than its factorization.

363739440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 363739440960 in words is "three hundred sixty-three billion, seven hundred thirty-nine million, four hundred forty thousand, nine hundred sixty".