71682777474 has 192 divisors, whose sum is σ = 184857292800. Its totient is φ = 18321811200.

The previous prime is 71682777469. The next prime is 71682777479. The reversal of 71682777474 is 47477728617.

It is an interprime number because it is at equal distance from previous prime (71682777469) and next prime (71682777479).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71682777479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78000387 + ... + 78001305.

It is an arithmetic number, because the mean of its divisors is an integer number (962798400).

Almost surely, 2^71682777474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71682777474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92428646400).

71682777474 is an abundant number, since it is smaller than the sum of its proper divisors (113174515326).

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

71682777474 is a wasteful number, since it uses less digits than its factorization.

71682777474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1302 counting only the distinct ones).

The product of its digits is 25815552, while the sum is 60.

The spelling of 71682777474 in words is "seventy-one billion, six hundred eighty-two million, seven hundred seventy-seven thousand, four hundred seventy-four".