24672420173040 has 320 divisors, whose sum is σ = 80910114278400. Its totient is φ = 6202098892800.

The previous prime is 24672420173017. The next prime is 24672420173047. The reversal of 24672420173040 is 4037102427642.

It is a super-2 number, since 2×24672420173040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24672420172983 and 24672420173001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24672420173047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1449519730 + ... + 1449536750.

It is an arithmetic number, because the mean of its divisors is an integer number (252844107120).

Almost surely, 2^{24672420173040} is an apocalyptic number.

24672420173040 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 24672420173040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40455057139200).

24672420173040 is an abundant number, since it is smaller than the sum of its proper divisors (56237694105360).

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

24672420173040 is a wasteful number, since it uses less digits than its factorization.

24672420173040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18616 (or 18610 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 24672420173040 in words is "twenty-four trillion, six hundred seventy-two billion, four hundred twenty million, one hundred seventy-three thousand, forty".