71322900480 has 576 divisors, whose sum is σ = 270987444000. Its totient is φ = 17241735168.

The previous prime is 71322900463. The next prime is 71322900491. The reversal of 71322900480 is 8400922317.

71322900480 is a `hidden beast` number, since 71 + 3 + 22 + 90 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×71322900480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70686216 + ... + 70687224.

Almost surely, 2^71322900480 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 71322900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135493722000).

71322900480 is an abundant number, since it is smaller than the sum of its proper divisors (199664543520).

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

71322900480 is a wasteful number, since it uses less digits than its factorization.

71322900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 71322900480 in words is "seventy-one billion, three hundred twenty-two million, nine hundred thousand, four hundred eighty".