71760440736 has 144 divisors (see below), whose sum is σ = 208593874944. Its totient is φ = 23390633472.

The previous prime is 71760440729. The next prime is 71760440797. The reversal of 71760440736 is 63704406717.

71760440736 is a `hidden beast` number, since 7 + 1 + 7 + 604 + 4 + 0 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 71760440691 and 71760440700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26705185 + ... + 26707871.

It is an arithmetic number, because the mean of its divisors is an integer number (1448568576).

Almost surely, 2^71760440736 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 71760440736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104296937472).

71760440736 is an abundant number, since it is smaller than the sum of its proper divisors (136833434208).

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

71760440736 is a wasteful number, since it uses less digits than its factorization.

71760440736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 71760440736 in words is "seventy-one billion, seven hundred sixty million, four hundred forty thousand, seven hundred thirty-six".