71687693760 has 224 divisors, whose sum is σ = 240471106560. Its totient is φ = 18064478208.

The previous prime is 71687693743. The next prime is 71687693761. The reversal of 71687693760 is 6739678617.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 71687693694 and 71687693703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71687693761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1281087 + ... + 1335873.

Almost surely, 2^71687693760 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 71687693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120235553280).

71687693760 is an abundant number, since it is smaller than the sum of its proper divisors (168783412800).

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

71687693760 is a wasteful number, since it uses less digits than its factorization.

71687693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54883 (or 54873 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 71687693760 in words is "seventy-one billion, six hundred eighty-seven million, six hundred ninety-three thousand, seven hundred sixty".