24786978048 has 576 divisors, whose sum is σ = 89870592000. Its totient is φ = 6581108736.

The previous prime is 24786978023. The next prime is 24786978053. The reversal of 24786978048 is 84087968742.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×24786978048² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54238236 + ... + 54238692.

Almost surely, 2^24786978048 is an apocalyptic number.

24786978048 is a gapful number since it is divisible by the number (28) 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 24786978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44935296000).

24786978048 is an abundant number, since it is smaller than the sum of its proper divisors (65083613952).

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

24786978048 is a wasteful number, since it uses less digits than its factorization.

24786978048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 24786978048 in words is "twenty-four billion, seven hundred eighty-six million, nine hundred seventy-eight thousand, forty-eight".