71020681680 has 360 divisors, whose sum is σ = 244333477728. Its totient is φ = 17057424384.

The previous prime is 71020681657. The next prime is 71020681687. The reversal of 71020681680 is 8618602017.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71020681687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74994967 + ... + 74995913.

Almost surely, 2^71020681680 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 71020681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122166738864).

71020681680 is an abundant number, since it is smaller than the sum of its proper divisors (173312796048).

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

71020681680 is a wasteful number, since it uses less digits than its factorization.

71020681680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 71020681680 in words is "seventy-one billion, twenty million, six hundred eighty-one thousand, six hundred eighty".