71224688640 has 512 divisors, whose sum is σ = 264136458240. Its totient is φ = 16052649984.

The previous prime is 71224688621. The next prime is 71224688669. The reversal of 71224688640 is 4688642217.

It is a tau number, because it is divible by the number of its divisors (512).

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 71224688640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436961199 + ... + 436961361.

It is an arithmetic number, because the mean of its divisors is an integer number (515891520).

Almost surely, 2^71224688640 is an apocalyptic number.

71224688640 is a gapful number since it is divisible by the number (70) 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 71224688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132068229120).

71224688640 is an abundant number, since it is smaller than the sum of its proper divisors (192911769600).

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

71224688640 is a wasteful number, since it uses less digits than its factorization.

71224688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 71224688640 in words is "seventy-one billion, two hundred twenty-four million, six hundred eighty-eight thousand, six hundred forty".