24472129968 has 240 divisors, whose sum is σ = 83152004320. Its totient is φ = 6845160960.

The previous prime is 24472129949. The next prime is 24472130051. The reversal of 24472129968 is 86992127442.

It is a happy number.

24472129968 is a `hidden beast` number, since 24 + 472 + 1 + 2 + 99 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 661530 + ... + 697542.

Almost surely, 2^24472129968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24472129968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41576002160).

24472129968 is an abundant number, since it is smaller than the sum of its proper divisors (58679874352).

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

24472129968 is a wasteful number, since it uses less digits than its factorization.

24472129968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36065 (or 36042 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 24472129968 in words is "twenty-four billion, four hundred seventy-two million, one hundred twenty-nine thousand, nine hundred sixty-eight".