71716432480 has 384 divisors, whose sum is σ = 225834448896. Its totient is φ = 20856422400.

The previous prime is 71716432451. The next prime is 71716432547. The reversal of 71716432480 is 8423461717.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11614674 + ... + 11620846.

It is an arithmetic number, because the mean of its divisors is an integer number (588110544).

Almost surely, 2^71716432480 is an apocalyptic number.

71716432480 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 71716432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112917224448).

71716432480 is an abundant number, since it is smaller than the sum of its proper divisors (154118016416).

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

71716432480 is a wasteful number, since it uses less digits than its factorization.

71716432480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6262 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 71716432480 in words is "seventy-one billion, seven hundred sixteen million, four hundred thirty-two thousand, four hundred eighty".