363649465756720 has 320 divisors, whose sum is σ = 999812508903936. Its totient is φ = 121265796464640.

The previous prime is 363649465756669. The next prime is 363649465756723. The reversal of 363649465756720 is 27657564946363.

It is not an unprimeable number, because it can be changed into a prime (363649465756723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1212593032 + ... + 1212892888.

Almost surely, 2^{363649465756720} 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 363649465756720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499906254451968).

363649465756720 is an abundant number, since it is smaller than the sum of its proper divisors (636163043147216).

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

363649465756720 is a wasteful number, since it uses less digits than its factorization.

363649465756720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300588 (or 300582 counting only the distinct ones).

The product of its (nonzero) digits is 4115059200, while the sum is 73.

The spelling of 363649465756720 in words is "three hundred sixty-three trillion, six hundred forty-nine billion, four hundred sixty-five million, seven hundred fifty-six thousand, seven hundred twenty".