71642299520 has 256 divisors, whose sum is σ = 194532572160. Its totient is φ = 25202073600.

The previous prime is 71642299513. The next prime is 71642299537. The reversal of 71642299520 is 2599224617.

It is a happy number.

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, 26405684 + ... + 26408396.

It is an arithmetic number, because the mean of its divisors is an integer number (759892860).

Almost surely, 2^71642299520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71642299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97266286080).

71642299520 is an abundant number, since it is smaller than the sum of its proper divisors (122890272640).

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

71642299520 is a wasteful number, since it uses less digits than its factorization.

71642299520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 71642299520 in words is "seventy-one billion, six hundred forty-two million, two hundred ninety-nine thousand, five hundred twenty".