368088870240 has 720 divisors, whose sum is σ = 1627414023312. Its totient is φ = 77660964864.

The previous prime is 368088870239. The next prime is 368088870241. The reversal of 368088870240 is 42078880863.

It is an interprime number because it is at equal distance from previous prime (368088870239) and next prime (368088870241).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368088870241) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8233227 + ... + 8277813.

Almost surely, 2^368088870240 is an apocalyptic number.

368088870240 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 368088870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813707011656).

368088870240 is an abundant number, since it is smaller than the sum of its proper divisors (1259325153072).

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

368088870240 is a wasteful number, since it uses less digits than its factorization.

368088870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44641 (or 44617 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 368088870240 in words is "three hundred sixty-eight billion, eighty-eight million, eight hundred seventy thousand, two hundred forty".