69864444000 has 1344 divisors, whose sum is σ = 294760589760. Its totient is φ = 16124313600.

The previous prime is 69864443977. The next prime is 69864444007. The reversal of 69864444000 is 44446896.

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 (69864444007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 720251952 + ... + 720252048.

It is an arithmetic number, because the mean of its divisors is an integer number (219315915).

Almost surely, 2^69864444000 is an apocalyptic number.

69864444000 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 69864444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147380294880).

69864444000 is an abundant number, since it is smaller than the sum of its proper divisors (224896145760).

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

69864444000 is a wasteful number, since it uses less digits than its factorization.

69864444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 69864444000 in words is "sixty-nine billion, eight hundred sixty-four million, four hundred forty-four thousand".