71834274360 has 512 divisors, whose sum is σ = 258432768000. Its totient is φ = 17703899136.

The previous prime is 71834274331. The next prime is 71834274373. The reversal of 71834274360 is 6347243817.

71834274360 is a `hidden beast` number, since 7 + 18 + 3 + 4 + 274 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116424772 + ... + 116425388.

It is an arithmetic number, because the mean of its divisors is an integer number (504751500).

Almost surely, 2^71834274360 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 71834274360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129216384000).

71834274360 is an abundant number, since it is smaller than the sum of its proper divisors (186598493640).

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

71834274360 is a wasteful number, since it uses less digits than its factorization.

71834274360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 71834274360 in words is "seventy-one billion, eight hundred thirty-four million, two hundred seventy-four thousand, three hundred sixty".