71791695360 has 1920 divisors, whose sum is σ = 338558330880. Its totient is φ = 14244249600.

The previous prime is 71791695359. The next prime is 71791695389. The reversal of 71791695360 is 6359619717.

It is a happy number.

71791695360 is a `hidden beast` number, since 7 + 17 + 91 + 6 + 9 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 71791695297 and 71791695306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1527482857 + ... + 1527482903.

It is an arithmetic number, because the mean of its divisors is an integer number (176332464).

Almost surely, 2^71791695360 is an apocalyptic number.

71791695360 is a gapful number since it is divisible by the number (70) 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 71791695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169279165440).

71791695360 is an abundant number, since it is smaller than the sum of its proper divisors (266766635520).

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

71791695360 is a wasteful number, since it uses less digits than its factorization.

71791695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 71791695360 in words is "seventy-one billion, seven hundred ninety-one million, six hundred ninety-five thousand, three hundred sixty".