71744486400 has 792 divisors, whose sum is σ = 280875911680. Its totient is φ = 18095063040.

The previous prime is 71744486393. The next prime is 71744486441. The reversal of 71744486400 is 468444717.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118194897 + ... + 118195503.

Almost surely, 2^71744486400 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 71744486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140437955840).

71744486400 is an abundant number, since it is smaller than the sum of its proper divisors (209131425280).

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

71744486400 is a wasteful number, since it uses less digits than its factorization.

71744486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 71744486400 in words is "seventy-one billion, seven hundred forty-four million, four hundred eighty-six thousand, four hundred".