71330900480 has 320 divisors, whose sum is σ = 206661058560. Its totient is φ = 23066394624.

The previous prime is 71330900471. The next prime is 71330900483. The reversal of 71330900480 is 8400903317.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 71330900480.

It is not an unprimeable number, because it can be changed into a prime (71330900483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130403567 + ... + 130404113.

It is an arithmetic number, because the mean of its divisors is an integer number (645815808).

Almost surely, 2^71330900480 is an apocalyptic number.

71330900480 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 71330900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103330529280).

71330900480 is an abundant number, since it is smaller than the sum of its proper divisors (135330158080).

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

71330900480 is a wasteful number, since it uses less digits than its factorization.

71330900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 71330900480 in words is "seventy-one billion, three hundred thirty million, nine hundred thousand, four hundred eighty".