71734194000 has 1280 divisors, whose sum is σ = 316139765760. Its totient is φ = 15191193600.

The previous prime is 71734193989. The next prime is 71734194017. The reversal of 71734194000 is 49143717.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 321677889 + ... + 321678111.

It is an arithmetic number, because the mean of its divisors is an integer number (246984192).

Almost surely, 2^71734194000 is an apocalyptic number.

71734194000 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 71734194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158069882880).

71734194000 is an abundant number, since it is smaller than the sum of its proper divisors (244405571760).

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

71734194000 is a wasteful number, since it uses less digits than its factorization.

71734194000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 71734194000 in words is "seventy-one billion, seven hundred thirty-four million, one hundred ninety-four thousand".