71652085424664 has 256 divisors, whose sum is σ = 202749926031360. Its totient is φ = 20993596416000.

The previous prime is 71652085424629. The next prime is 71652085424683. The reversal of 71652085424664 is 46642458025617.

It is a junction number, because it is equal to n+sod(n) for n = 71652085424598 and 71652085424607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40014849 + ... + 41767119.

It is an arithmetic number, because the mean of its divisors is an integer number (791991898560).

Almost surely, 2^{71652085424664} 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 71652085424664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101374963015680).

71652085424664 is an abundant number, since it is smaller than the sum of its proper divisors (131097840606696).

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

71652085424664 is a wasteful number, since it uses less digits than its factorization.

71652085424664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752442 (or 1752438 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 60.

The spelling of 71652085424664 in words is "seventy-one trillion, six hundred fifty-two billion, eighty-five million, four hundred twenty-four thousand, six hundred sixty-four".