71384721408 has 1152 divisors, whose sum is σ = 285905168640. Its totient is φ = 16562257920.

The previous prime is 71384721391. The next prime is 71384721413. The reversal of 71384721408 is 80412748317.

71384721408 is a `hidden beast` number, since 7 + 1 + 38 + 472 + 140 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 977872860 + ... + 977872932.

It is an arithmetic number, because the mean of its divisors is an integer number (248181570).

Almost surely, 2^71384721408 is an apocalyptic number.

71384721408 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71384721408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142952584320).

71384721408 is an abundant number, since it is smaller than the sum of its proper divisors (214520447232).

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

71384721408 is a wasteful number, since it uses less digits than its factorization.

71384721408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 71384721408 in words is "seventy-one billion, three hundred eighty-four million, seven hundred twenty-one thousand, four hundred eight".