368276336640 has 728 divisors, whose sum is σ = 1403936482608. Its totient is φ = 92366438400.

The previous prime is 368276336599. The next prime is 368276336641. The reversal of 368276336640 is 46633672863.

368276336640 is a `hidden beast` number, since 3 + 6 + 8 + 276 + 3 + 366 + 4 + 0 = 666.

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 (368276336641) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 253807915 + ... + 253809365.

Almost surely, 2^368276336640 is an apocalyptic number.

368276336640 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 368276336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701968241304).

368276336640 is an abundant number, since it is smaller than the sum of its proper divisors (1035660145968).

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

368276336640 is an equidigital number, since it uses as much as digits as its factorization.

368276336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 368276336640 in words is "three hundred sixty-eight billion, two hundred seventy-six million, three hundred thirty-six thousand, six hundred forty".