71453382480 has 240 divisors, whose sum is σ = 242934022656. Its totient is φ = 18819440640.

The previous prime is 71453382457. The next prime is 71453382487. The reversal of 71453382480 is 8428335417.

71453382480 is a `hidden beast` number, since 7 + 14 + 533 + 8 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (71453382487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34335040 + ... + 34337120.

Almost surely, 2^71453382480 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 71453382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121467011328).

71453382480 is an abundant number, since it is smaller than the sum of its proper divisors (171480640176).

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

71453382480 is a wasteful number, since it uses less digits than its factorization.

71453382480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 71453382480 in words is "seventy-one billion, four hundred fifty-three million, three hundred eighty-two thousand, four hundred eighty".