71756074368 has 768 divisors, whose sum is σ = 247281048000. Its totient is φ = 20437401600.

The previous prime is 71756074349. The next prime is 71756074373. The reversal of 71756074368 is 86347065717.

71756074368 is a `hidden beast` number, since 7 + 1 + 7 + 560 + 74 + 3 + 6 + 8 = 666.

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

It is a congruent number.

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, 739753296 + ... + 739753392.

Almost surely, 2^71756074368 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 71756074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123640524000).

71756074368 is an abundant number, since it is smaller than the sum of its proper divisors (175524973632).

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

71756074368 is a wasteful number, since it uses less digits than its factorization.

71756074368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 71756074368 in words is "seventy-one billion, seven hundred fifty-six million, seventy-four thousand, three hundred sixty-eight".