368625563320 has 192 divisors, whose sum is σ = 971437484160. Its totient is φ = 125522208000.

The previous prime is 368625563263. The next prime is 368625563333. The reversal of 368625563320 is 23365526863.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254048595 + ... + 254050045.

It is an arithmetic number, because the mean of its divisors is an integer number (5059570230).

Almost surely, 2^368625563320 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 368625563320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485718742080).

368625563320 is an abundant number, since it is smaller than the sum of its proper divisors (602811920840).

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

368625563320 is a wasteful number, since it uses less digits than its factorization.

368625563320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 49.

The spelling of 368625563320 in words is "three hundred sixty-eight billion, six hundred twenty-five million, five hundred sixty-three thousand, three hundred twenty".