71456631840 has 1920 divisors, whose sum is σ = 320356270080. Its totient is φ = 14780620800.

The previous prime is 71456631793. The next prime is 71456631847. The reversal of 71456631840 is 4813665417.

71456631840 is a `hidden beast` number, since 7 + 1 + 4 + 5 + 6 + 631 + 8 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (71456631847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1931260302 + ... + 1931260338.

It is an arithmetic number, because the mean of its divisors is an integer number (166852224).

Almost surely, 2^71456631840 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 71456631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160178135040).

71456631840 is an abundant number, since it is smaller than the sum of its proper divisors (248899638240).

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

71456631840 is a wasteful number, since it uses less digits than its factorization.

71456631840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 71456631840 in words is "seventy-one billion, four hundred fifty-six million, six hundred thirty-one thousand, eight hundred forty".