24768564480 has 432 divisors, whose sum is σ = 96627074880. Its totient is φ = 6003486720.

The previous prime is 24768564473. The next prime is 24768564487. The reversal of 24768564480 is 8446586742.

It is a happy number.

24768564480 is a `hidden beast` number, since 2 + 4 + 76 + 8 + 564 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (24768564473) and next prime (24768564487).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×24768564480² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24768564487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4178799 + ... + 4184721.

Almost surely, 2^24768564480 is an apocalyptic number.

24768564480 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 24768564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48313537440).

24768564480 is an abundant number, since it is smaller than the sum of its proper divisors (71858510400).

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

24768564480 is a wasteful number, since it uses less digits than its factorization.

24768564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5975 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 24768564480 in words is "twenty-four billion, seven hundred sixty-eight million, five hundred sixty-four thousand, four hundred eighty".