71417980800 has 768 divisors, whose sum is σ = 276657292800. Its totient is φ = 17955717120.

The previous prime is 71417980769. The next prime is 71417980801. The reversal of 71417980800 is 808971417.

71417980800 is a `hidden beast` number, since 71 + 417 + 98 + 0 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71417980801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164937384 + ... + 164937816.

It is an arithmetic number, because the mean of its divisors is an integer number (360230850).

Almost surely, 2^71417980800 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 71417980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138328646400).

71417980800 is an abundant number, since it is smaller than the sum of its proper divisors (205239312000).

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

71417980800 is a wasteful number, since it uses less digits than its factorization.

71417980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 71417980800 in words is "seventy-one billion, four hundred seventeen million, nine hundred eighty thousand, eight hundred".