24728676072 has 64 divisors (see below), whose sum is σ = 64015660800. Its totient is φ = 7950915840.

The previous prime is 24728676061. The next prime is 24728676083. The reversal of 24728676072 is 27067682742.

It is an interprime number because it is at equal distance from previous prime (24728676061) and next prime (24728676083).

It is a super-3 number, since 3×24728676072³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721713 + ... + 755199.

It is an arithmetic number, because the mean of its divisors is an integer number (1000244700).

Almost surely, 2^24728676072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24728676072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32007830400).

24728676072 is an abundant number, since it is smaller than the sum of its proper divisors (39286984728).

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

24728676072 is a wasteful number, since it uses less digits than its factorization.

24728676072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34586 (or 34582 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 24728676072 in words is "twenty-four billion, seven hundred twenty-eight million, six hundred seventy-six thousand, seventy-two".