364675000368 has 320 divisors, whose sum is σ = 1149320724480. Its totient is φ = 97324416000.

The previous prime is 364675000357. The next prime is 364675000411. The reversal of 364675000368 is 863000576463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174735421 + ... + 174737507.

It is an arithmetic number, because the mean of its divisors is an integer number (3591627264).

Almost surely, 2^364675000368 is an apocalyptic number.

364675000368 is a gapful number since it is divisible by the number (38) 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 364675000368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574660362240).

364675000368 is an abundant number, since it is smaller than the sum of its proper divisors (784645724112).

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

364675000368 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (364675000367) it forms an eRAP, since the sums of their prime factors are consecutive (2495 and 2496).

364675000368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 364675000368 in words is "three hundred sixty-four billion, six hundred seventy-five million, three hundred sixty-eight", and thus it is an aban number.