363449504640 has 256 divisors, whose sum is σ = 1169687692800. Its totient is φ = 95988080640.

The previous prime is 363449504609. The next prime is 363449504707. The reversal of 363449504640 is 46405944363.

It is a super-2 number, since 2×363449504640² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 363449504640.

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, 90385830 + ... + 90389850.

It is an arithmetic number, because the mean of its divisors is an integer number (4569092550).

Almost surely, 2^363449504640 is an apocalyptic number.

363449504640 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 363449504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584843846400).

363449504640 is an abundant number, since it is smaller than the sum of its proper divisors (806238188160).

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

363449504640 is a wasteful number, since it uses less digits than its factorization.

363449504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 363449504640 in words is "three hundred sixty-three billion, four hundred forty-nine million, five hundred four thousand, six hundred forty".