24161264640 has 264 divisors, whose sum is σ = 85146684480. Its totient is φ = 6333087744.

The previous prime is 24161264639. The next prime is 24161264651. The reversal of 24161264640 is 4646216142.

24161264640 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 1 + 2 + 6 + 4 + 640 = 666.

It is a super-2 number, since 2×24161264640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24161264595 and 24161264604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2714277 + ... + 2723163.

It is an arithmetic number, because the mean of its divisors is an integer number (322525320).

Almost surely, 2^24161264640 is an apocalyptic number.

24161264640 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 24161264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42573342240).

24161264640 is an abundant number, since it is smaller than the sum of its proper divisors (60985419840).

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

24161264640 is a wasteful number, since it uses less digits than its factorization.

24161264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8977 (or 8956 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 24161264640 in words is "twenty-four billion, one hundred sixty-one million, two hundred sixty-four thousand, six hundred forty".