24794274960 has 800 divisors, whose sum is σ = 111615356160. Its totient is φ = 4953747456.

The previous prime is 24794274931. The next prime is 24794274983. The reversal of 24794274960 is 6947249742.

24794274960 is a `hidden beast` number, since 2 + 47 + 94 + 27 + 496 + 0 = 666.

It is a super-2 number, since 2×24794274960² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 24794274897 and 24794274906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11202814 + ... + 11205026.

Almost surely, 2^24794274960 is an apocalyptic number.

24794274960 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 24794274960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55807678080).

24794274960 is an abundant number, since it is smaller than the sum of its proper divisors (86821081200).

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

24794274960 is a wasteful number, since it uses less digits than its factorization.

24794274960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 24794274960 in words is "twenty-four billion, seven hundred ninety-four million, two hundred seventy-four thousand, nine hundred sixty".