24478647728640 has 720 divisors, whose sum is σ = 95162281286688. Its totient is φ = 5351809892352.

The previous prime is 24478647728603. The next prime is 24478647728701. The reversal of 24478647728640 is 4682774687442.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 199011799 + ... + 199134761.

Almost surely, 2^{24478647728640} is an apocalyptic number.

24478647728640 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 24478647728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47581140643344).

24478647728640 is an abundant number, since it is smaller than the sum of its proper divisors (70683633558048).

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

24478647728640 is a wasteful number, since it uses less digits than its factorization.

24478647728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123049 (or 123003 counting only the distinct ones).

The product of its (nonzero) digits is 809238528, while the sum is 69.

The spelling of 24478647728640 in words is "twenty-four trillion, four hundred seventy-eight billion, six hundred forty-seven million, seven hundred twenty-eight thousand, six hundred forty".