71662216320 has 256 divisors, whose sum is σ = 256942080000. Its totient is φ = 19109551104.

The previous prime is 71662216271. The next prime is 71662216333. The reversal of 71662216320 is 2361226617.

71662216320 is a `hidden beast` number, since 7 + 1 + 6 + 622 + 1 + 6 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1374081 + ... + 1425279.

It is an arithmetic number, because the mean of its divisors is an integer number (1003680000).

Almost surely, 2^71662216320 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 71662216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128471040000).

71662216320 is an abundant number, since it is smaller than the sum of its proper divisors (185279863680).

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

71662216320 is an frugal number, since it uses more digits than its factorization.

71662216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51239 (or 51209 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 71662216320 in words is "seventy-one billion, six hundred sixty-two million, two hundred sixteen thousand, three hundred twenty".