363201662772 has 384 divisors, whose sum is σ = 1134181440000. Its totient is φ = 99451183104.

The previous prime is 363201662749. The next prime is 363201662777. The reversal of 363201662772 is 277266102363.

363201662772 is a `hidden beast` number, since 3 + 6 + 3 + 2 + 0 + 16 + 627 + 7 + 2 = 666.

It is a super-2 number, since 2×363201662772² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363201662777) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28617004 + ... + 28629692.

It is an arithmetic number, because the mean of its divisors is an integer number (2953597500).

Almost surely, 2^363201662772 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 363201662772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567090720000).

363201662772 is an abundant number, since it is smaller than the sum of its proper divisors (770979777228).

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

363201662772 is a wasteful number, since it uses less digits than its factorization.

363201662772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12800 (or 12792 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 363201662772 in words is "three hundred sixty-three billion, two hundred one million, six hundred sixty-two thousand, seven hundred seventy-two".