71743760820 has 36 divisors (see below), whose sum is σ = 217622741700. Its totient is φ = 19131669504.

The previous prime is 71743760813. The next prime is 71743760821. The reversal of 71743760820 is 2806734717.

71743760820 is a `hidden beast` number, since 7 + 1 + 7 + 4 + 37 + 608 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40833901476 + 30909859344 = 202074^2 + 175812^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71743760821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199288045 + ... + 199288404.

Almost surely, 2^71743760820 is an apocalyptic number.

It is an amenable number.

71743760820 is an abundant number, since it is smaller than the sum of its proper divisors (145878980880).

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

71743760820 is a wasteful number, since it uses less digits than its factorization.

71743760820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398576464 (or 398576459 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 71743760820 in words is "seventy-one billion, seven hundred forty-three million, seven hundred sixty thousand, eight hundred twenty".