368768720 has 90 divisors (see below), whose sum is σ = 912966678. Its totient is φ = 138507264.

The previous prime is 368768717. The next prime is 368768723. The reversal of 368768720 is 27867863.

It is an interprime number because it is at equal distance from previous prime (368768717) and next prime (368768723).

It can be written as a sum of positive squares in 3 ways, for example, as 38837824 + 329930896 = 6232^2 + 18164^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368768723) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3263384 + ... + 3263496.

Almost surely, 2^368768720 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 368768720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456483339).

368768720 is an abundant number, since it is smaller than the sum of its proper divisors (544197958).

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

368768720 is a wasteful number, since it uses less digits than its factorization.

368768720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The square root of 368768720 is about 19203.3517907682. The cubic root of 368768720 is about 717.1082055272.

The spelling of 368768720 in words is "three hundred sixty-eight million, seven hundred sixty-eight thousand, seven hundred twenty".