71630422753824 has 384 divisors, whose sum is σ = 237852320348160. Its totient is φ = 20759997772800.

The previous prime is 71630422753789. The next prime is 71630422753831. The reversal of 71630422753824 is 42835722403617.

71630422753824 is a `hidden beast` number, since 7 + 1 + 6 + 30 + 4 + 227 + 5 + 382 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2762334139 + ... + 2762360069.

It is an arithmetic number, because the mean of its divisors is an integer number (619407084240).

Almost surely, 2^{71630422753824} 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 71630422753824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118926160174080).

71630422753824 is an abundant number, since it is smaller than the sum of its proper divisors (166221897594336).

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

71630422753824 is a wasteful number, since it uses less digits than its factorization.

71630422753824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38621 (or 38607 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 71630422753824 in words is "seventy-one trillion, six hundred thirty billion, four hundred twenty-two million, seven hundred fifty-three thousand, eight hundred twenty-four".