71290615680 has 768 divisors, whose sum is σ = 264877516800. Its totient is φ = 17639424000.

The previous prime is 71290615667. The next prime is 71290615687. The reversal of 71290615680 is 8651609217.

71290615680 is a `hidden beast` number, since 7 + 1 + 29 + 0 + 61 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71290615687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 705847630 + ... + 705847730.

It is an arithmetic number, because the mean of its divisors is an integer number (344892600).

Almost surely, 2^71290615680 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 71290615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132438758400).

71290615680 is an abundant number, since it is smaller than the sum of its proper divisors (193586901120).

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

71290615680 is a wasteful number, since it uses less digits than its factorization.

71290615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 71290615680 in words is "seventy-one billion, two hundred ninety million, six hundred fifteen thousand, six hundred eighty".