368683267680 has 2880 divisors, whose sum is σ = 1797499009152. Its totient is φ = 70230343680.

The previous prime is 368683267649. The next prime is 368683267681. The reversal of 368683267680 is 86762386863.

368683267680 is a `hidden beast` number, since 368 + 6 + 8 + 3 + 267 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368683267681) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5192722045 + ... + 5192722115.

Almost surely, 2^368683267680 is an apocalyptic number.

368683267680 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 368683267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898749504576).

368683267680 is an abundant number, since it is smaller than the sum of its proper divisors (1428815741472).

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

368683267680 is a wasteful number, since it uses less digits than its factorization.

368683267680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 368683267680 in words is "three hundred sixty-eight billion, six hundred eighty-three million, two hundred sixty-seven thousand, six hundred eighty".