71036671680 has 448 divisors, whose sum is σ = 274993729920. Its totient is φ = 17154588672.

The previous prime is 71036671663. The next prime is 71036671681. The reversal of 71036671680 is 8617663017.

It is a super-2 number, since 2×71036671680² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (71036671681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5946994 + ... + 5958926.

It is an arithmetic number, because the mean of its divisors is an integer number (613825290).

Almost surely, 2^71036671680 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 71036671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137496864960).

71036671680 is an abundant number, since it is smaller than the sum of its proper divisors (203957058240).

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

71036671680 is a wasteful number, since it uses less digits than its factorization.

71036671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12025 (or 12009 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 71036671680 in words is "seventy-one billion, thirty-six million, six hundred seventy-one thousand, six hundred eighty".