24472994107968 has 1680 divisors, whose sum is σ = 93260390446080. Its totient is φ = 6197600894976.

The previous prime is 24472994107967. The next prime is 24472994107973. The reversal of 24472994107968 is 86970149927442.

24472994107968 is a `hidden beast` number, since 2 + 4 + 472 + 9 + 94 + 1 + 0 + 7 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 24472994107896 and 24472994107905.

It is not an unprimeable number, because it can be changed into a prime (24472994107963) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 52404698071 + ... + 52404698537.

Almost surely, 2^{24472994107968} is an apocalyptic number.

24472994107968 is a gapful number since it is divisible by the number (28) 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 24472994107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46630195223040).

24472994107968 is an abundant number, since it is smaller than the sum of its proper divisors (68787396338112).

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

24472994107968 is a wasteful number, since it uses less digits than its factorization.

24472994107968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 24472994107968 in words is "twenty-four trillion, four hundred seventy-two billion, nine hundred ninety-four million, one hundred seven thousand, nine hundred sixty-eight".