83264068800 has 1008 divisors, whose sum is σ = 353632678560. Its totient is φ = 18977587200.

The previous prime is 83264068753. The next prime is 83264068801. The reversal of 83264068800 is 886046238.

It is a happy number.

It is a super-2 number, since 2×83264068800² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (83264068801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88861932 + ... + 88862868.

It is an arithmetic number, because the mean of its divisors is an integer number (350826070).

Almost surely, 2^83264068800 is an apocalyptic number.

83264068800 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 83264068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176816339280).

83264068800 is an abundant number, since it is smaller than the sum of its proper divisors (270368609760).

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

83264068800 is a wasteful number, since it uses less digits than its factorization.

83264068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 83264068800 in words is "eighty-three billion, two hundred sixty-four million, sixty-eight thousand, eight hundred".