843264069120 has 1600 divisors, whose sum is σ = 3449731203072. Its totient is φ = 195084288000.

The previous prime is 843264069101. The next prime is 843264069139. The reversal of 843264069120 is 21960462348.

It is an interprime number because it is at equal distance from previous prime (843264069101) and next prime (843264069139).

It is a super-2 number, since 2×843264069120² (a number of 25 digits) contains 22 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 159 ways as a sum of consecutive naturals, for example, 6639874497 + ... + 6639874623.

Almost surely, 2^843264069120 is an apocalyptic number.

843264069120 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 843264069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724865601536).

843264069120 is an abundant number, since it is smaller than the sum of its proper divisors (2606467133952).

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

843264069120 is a wasteful number, since it uses less digits than its factorization.

843264069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 843264069120 in words is "eight hundred forty-three billion, two hundred sixty-four million, sixty-nine thousand, one hundred twenty".