368700076800 has 2160 divisors, whose sum is σ = 1622959873920. Its totient is φ = 81616896000.

The previous prime is 368700076747. The next prime is 368700076847. The reversal of 368700076800 is 8670007863.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×368700076800³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4442169559 + ... + 4442169641.

It is an arithmetic number, because the mean of its divisors is an integer number (751370312).

Almost surely, 2^368700076800 is an apocalyptic number.

368700076800 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 368700076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811479936960).

368700076800 is an abundant number, since it is smaller than the sum of its proper divisors (1254259797120).

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

368700076800 is a wasteful number, since it uses less digits than its factorization.

368700076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 368700076800 in words is "three hundred sixty-eight billion, seven hundred million, seventy-six thousand, eight hundred".