8712071424 has 432 divisors, whose sum is σ = 31037731200. Its totient is φ = 2400620544.

The previous prime is 8712071411. The next prime is 8712071429. The reversal of 8712071424 is 4241702178.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (8712071429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9821509 + ... + 9822395.

It is an arithmetic number, because the mean of its divisors is an integer number (71846600).

Almost surely, 2^8712071424 is an apocalyptic number.

8712071424 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 8712071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15518865600).

8712071424 is an abundant number, since it is smaller than the sum of its proper divisors (22325659776).

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

8712071424 is a wasteful number, since it uses less digits than its factorization.

8712071424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 8712071424 is about 93338.4777248911. The cubic root of 8712071424 is about 2057.6609187291.

The spelling of 8712071424 in words is "eight billion, seven hundred twelve million, seventy-one thousand, four hundred twenty-four".