24269045640 has 512 divisors, whose sum is σ = 92313354240. Its totient is φ = 4976640000.

The previous prime is 24269045599. The next prime is 24269045683. The reversal of 24269045640 is 4654096242.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 24269045592 and 24269045601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32315265 + ... + 32316015.

It is an arithmetic number, because the mean of its divisors is an integer number (180299520).

Almost surely, 2^24269045640 is an apocalyptic number.

24269045640 is a gapful number since it is divisible by the number (20) 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 24269045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46156677120).

24269045640 is an abundant number, since it is smaller than the sum of its proper divisors (68044308600).

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

24269045640 is a wasteful number, since it uses less digits than its factorization.

24269045640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 24269045640 in words is "twenty-four billion, two hundred sixty-nine million, forty-five thousand, six hundred forty".