8424968640 has 672 divisors, whose sum is σ = 31668598080. Its totient is φ = 1892352000.

The previous prime is 8424968639. The next prime is 8424968653. The reversal of 8424968640 is 468694248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138114210 + ... + 138114270.

It is an arithmetic number, because the mean of its divisors is an integer number (47125890).

Almost surely, 2^8424968640 is an apocalyptic number.

8424968640 is a gapful number since it is divisible by the number (80) 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 8424968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15834299040).

8424968640 is an abundant number, since it is smaller than the sum of its proper divisors (23243629440).

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

8424968640 is a wasteful number, since it uses less digits than its factorization.

8424968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The square root of 8424968640 is about 91787.6279244649. The cubic root of 8424968640 is about 2034.8048510211.

The spelling of 8424968640 in words is "eight billion, four hundred twenty-four million, nine hundred sixty-eight thousand, six hundred forty".