363480063744 has 288 divisors, whose sum is σ = 1121836939776. Its totient is φ = 102334464000.

The previous prime is 363480063721. The next prime is 363480063761. The reversal of 363480063744 is 447360084363.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 363480063693 and 363480063702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130888084 + ... + 130890860.

It is an arithmetic number, because the mean of its divisors is an integer number (3895267152).

Almost surely, 2^363480063744 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 363480063744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560918469888).

363480063744 is an abundant number, since it is smaller than the sum of its proper divisors (758356876032).

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

363480063744 is a wasteful number, since it uses less digits than its factorization.

363480063744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 48.

The spelling of 363480063744 in words is "three hundred sixty-three billion, four hundred eighty million, sixty-three thousand, seven hundred forty-four".