12069757440 has 480 divisors, whose sum is σ = 45846440640. Its totient is φ = 2916384768.

The previous prime is 12069757423. The next prime is 12069757451. The reversal of 12069757440 is 4475796021.

12069757440 is a `hidden beast` number, since 12 + 0 + 69 + 7 + 574 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17671339 + ... + 17672021.

It is an arithmetic number, because the mean of its divisors is an integer number (95513418).

Almost surely, 2^12069757440 is an apocalyptic number.

12069757440 is a gapful number since it is divisible by the number (10) 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 12069757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22923220320).

12069757440 is an abundant number, since it is smaller than the sum of its proper divisors (33776683200).

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

12069757440 is a wasteful number, since it uses less digits than its factorization.

12069757440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12069757440 in words is "twelve billion, sixty-nine million, seven hundred fifty-seven thousand, four hundred forty".