8742311424 has 640 divisors, whose sum is σ = 33186447360. Its totient is φ = 2206310400.

The previous prime is 8742311359. The next prime is 8742311471. The reversal of 8742311424 is 4241132478.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 45771169 + ... + 45771359.

It is an arithmetic number, because the mean of its divisors is an integer number (51853824).

Almost surely, 2^8742311424 is an apocalyptic number.

8742311424 is a gapful number since it is divisible by the number (84) 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 8742311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593223680).

8742311424 is an abundant number, since it is smaller than the sum of its proper divisors (24444135936).

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

8742311424 is a wasteful number, since it uses less digits than its factorization.

8742311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 257 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 8742311424 is about 93500.3284700113. The cubic root of 8742311424 is about 2060.0389146512.

The spelling of 8742311424 in words is "eight billion, seven hundred forty-two million, three hundred eleven thousand, four hundred twenty-four".