24472972800 has 480 divisors, whose sum is σ = 94580851200. Its totient is φ = 6180986880.

The previous prime is 24472972787. The next prime is 24472972861. The reversal of 24472972800 is 827927442.

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

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6564537 + ... + 6568263.

It is an arithmetic number, because the mean of its divisors is an integer number (197043440).

Almost surely, 2^24472972800 is an apocalyptic number.

24472972800 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 24472972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47290425600).

24472972800 is an abundant number, since it is smaller than the sum of its proper divisors (70107878400).

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

24472972800 is a wasteful number, since it uses less digits than its factorization.

24472972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 24472972800 in words is "twenty-four billion, four hundred seventy-two million, nine hundred seventy-two thousand, eight hundred".