24485672640 has 448 divisors, whose sum is σ = 91950308352. Its totient is φ = 5442355200.

The previous prime is 24485672639. The next prime is 24485672663. The reversal of 24485672640 is 4627658442.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 24485672640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23748925 + ... + 23749955.

It is an arithmetic number, because the mean of its divisors is an integer number (205246224).

Almost surely, 2^24485672640 is an apocalyptic number.

24485672640 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 24485672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45975154176).

24485672640 is an abundant number, since it is smaller than the sum of its proper divisors (67464635712).

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

24485672640 is a wasteful number, since it uses less digits than its factorization.

24485672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 24485672640 in words is "twenty-four billion, four hundred eighty-five million, six hundred seventy-two thousand, six hundred forty".