363489482880 has 640 divisors, whose sum is σ = 1371217921920. Its totient is φ = 91574157312.

The previous prime is 363489482861. The next prime is 363489482891. The reversal of 363489482880 is 88284984363.

363489482880 is a `hidden beast` number, since 3 + 6 + 348 + 9 + 4 + 8 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98960724 + ... + 98964396.

It is an arithmetic number, because the mean of its divisors is an integer number (2142528003).

Almost surely, 2^363489482880 is an apocalyptic number.

363489482880 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 363489482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685608960960).

363489482880 is an abundant number, since it is smaller than the sum of its proper divisors (1007728439040).

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

363489482880 is a wasteful number, since it uses less digits than its factorization.

363489482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 363489482880 in words is "three hundred sixty-three billion, four hundred eighty-nine million, four hundred eighty-two thousand, eight hundred eighty".