71435633614664 has 64 divisors (see below), whose sum is σ = 148682712024000. Its totient is φ = 31901532721920.

The previous prime is 71435633614651. The next prime is 71435633614673. The reversal of 71435633614664 is 46641633653417.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4726622 + ... + 12853490.

It is an arithmetic number, because the mean of its divisors is an integer number (2323167375375).

Almost surely, 2^{71435633614664} 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 71435633614664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74341356012000).

71435633614664 is an abundant number, since it is smaller than the sum of its proper divisors (77247078409336).

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

71435633614664 is a wasteful number, since it uses less digits than its factorization.

71435633614664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8128638 (or 8128634 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 59.

The spelling of 71435633614664 in words is "seventy-one trillion, four hundred thirty-five billion, six hundred thirty-three million, six hundred fourteen thousand, six hundred sixty-four".