818532864000 has 1664 divisors, whose sum is σ = 3319407336960. Its totient is φ = 200658124800.

The previous prime is 818532863989. The next prime is 818532864011. The reversal of 818532864000 is 468235818.

It is an interprime number because it is at equal distance from previous prime (818532863989) and next prime (818532864011).

It is a super-3 number, since 3×818532864000³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19035647979 + ... + 19035648021.

It is an arithmetic number, because the mean of its divisors is an integer number (1994836140).

Almost surely, 2^818532864000 is an apocalyptic number.

818532864000 is a gapful number since it is divisible by the number (80) 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 818532864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659703668480).

818532864000 is an abundant number, since it is smaller than the sum of its proper divisors (2500874472960).

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

818532864000 is an frugal number, since it uses more digits than its factorization.

818532864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 818532864000 in words is "eight hundred eighteen billion, five hundred thirty-two million, eight hundred sixty-four thousand".