69264490800 has 240 divisors, whose sum is σ = 232717605120. Its totient is φ = 17576401920.

The previous prime is 69264490717. The next prime is 69264490843. The reversal of 69264490800 is 809446296.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 69264490800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5430831 + ... + 5443569.

It is an arithmetic number, because the mean of its divisors is an integer number (969656688).

Almost surely, 2^69264490800 is an apocalyptic number.

69264490800 is a gapful number since it is divisible by the number (60) 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 69264490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116358802560).

69264490800 is an abundant number, since it is smaller than the sum of its proper divisors (163453114320).

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

69264490800 is a wasteful number, since it uses less digits than its factorization.

69264490800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12980 (or 12969 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 69264490800 in words is "sixty-nine billion, two hundred sixty-four million, four hundred ninety thousand, eight hundred".