71680076496 has 600 divisors, whose sum is σ = 259606169856. Its totient is φ = 18968463360.

The previous prime is 71680076483. The next prime is 71680076521. The reversal of 71680076496 is 69467008617.

It is a happy number.

71680076496 is a `hidden beast` number, since 7 + 1 + 6 + 80 + 0 + 76 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72330561 + ... + 72331551.

Almost surely, 2^71680076496 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 71680076496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129803084928).

71680076496 is an abundant number, since it is smaller than the sum of its proper divisors (187926093360).

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

71680076496 is a wasteful number, since it uses less digits than its factorization.

71680076496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 71680076496 in words is "seventy-one billion, six hundred eighty million, seventy-six thousand, four hundred ninety-six".