71851693368 has 256 divisors, whose sum is σ = 234991411200. Its totient is φ = 17777180160.

The previous prime is 71851693367. The next prime is 71851693411. The reversal of 71851693368 is 86339615817.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71851693367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4265683 + ... + 4282493.

It is an arithmetic number, because the mean of its divisors is an integer number (917935200).

Almost surely, 2^71851693368 is an apocalyptic number.

71851693368 is a gapful number since it is divisible by the number (78) 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 71851693368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117495705600).

71851693368 is an abundant number, since it is smaller than the sum of its proper divisors (163139717832).

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

71851693368 is a wasteful number, since it uses less digits than its factorization.

71851693368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16962 (or 16958 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The spelling of 71851693368 in words is "seventy-one billion, eight hundred fifty-one million, six hundred ninety-three thousand, three hundred sixty-eight".