71329756680 has 1920 divisors, whose sum is σ = 337875753600. Its totient is φ = 13293600768.

The previous prime is 71329756643. The next prime is 71329756691. The reversal of 71329756680 is 8665792317.

71329756680 is a `hidden beast` number, since 71 + 3 + 2 + 9 + 7 + 566 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 666633187 + ... + 666633293.

It is an arithmetic number, because the mean of its divisors is an integer number (175976955).

Almost surely, 2^71329756680 is an apocalyptic number.

71329756680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71329756680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168937876800).

71329756680 is an abundant number, since it is smaller than the sum of its proper divisors (266545996920).

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

71329756680 is a wasteful number, since it uses less digits than its factorization.

71329756680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 71329756680 in words is "seventy-one billion, three hundred twenty-nine million, seven hundred fifty-six thousand, six hundred eighty".