368788049280 has 960 divisors, whose sum is σ = 1565133451200. Its totient is φ = 82474205184.

The previous prime is 368788049263. The next prime is 368788049353. The reversal of 368788049280 is 82940887863.

368788049280 is a `hidden beast` number, since 3 + 68 + 7 + 8 + 8 + 0 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 119385976 + ... + 119389064.

It is an arithmetic number, because the mean of its divisors is an integer number (1630347345).

Almost surely, 2^368788049280 is an apocalyptic number.

368788049280 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 368788049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782566725600).

368788049280 is an abundant number, since it is smaller than the sum of its proper divisors (1196345401920).

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

368788049280 is a wasteful number, since it uses less digits than its factorization.

368788049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 368788049280 in words is "three hundred sixty-eight billion, seven hundred eighty-eight million, forty-nine thousand, two hundred eighty".