368268236640 has 240 divisors, whose sum is σ = 1303873290720. Its totient is φ = 97888020480.

The previous prime is 368268236639. The next prime is 368268236657. The reversal of 368268236640 is 46632862863.

368268236640 is a `hidden beast` number, since 368 + 2 + 6 + 8 + 236 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3984876 + ... + 4076244.

It is an arithmetic number, because the mean of its divisors is an integer number (5432805378).

Almost surely, 2^368268236640 is an apocalyptic number.

368268236640 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 368268236640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651936645360).

368268236640 is an abundant number, since it is smaller than the sum of its proper divisors (935605054080).

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

368268236640 is a wasteful number, since it uses less digits than its factorization.

368268236640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91707 (or 91690 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 368268236640 in words is "three hundred sixty-eight billion, two hundred sixty-eight million, two hundred thirty-six thousand, six hundred forty".