71399924064 has 288 divisors, whose sum is σ = 241152178176. Its totient is φ = 20356945920.

The previous prime is 71399924051. The next prime is 71399924119. The reversal of 71399924064 is 46042999317.

71399924064 is a `hidden beast` number, since 7 + 1 + 399 + 9 + 240 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 71399924064.

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, 33039144 + ... + 33041304.

It is an arithmetic number, because the mean of its divisors is an integer number (837333952).

Almost surely, 2^71399924064 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 71399924064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120576089088).

71399924064 is an abundant number, since it is smaller than the sum of its proper divisors (169752254112).

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

71399924064 is a wasteful number, since it uses less digits than its factorization.

71399924064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 71399924064 in words is "seventy-one billion, three hundred ninety-nine million, nine hundred twenty-four thousand, sixty-four".