71537486760 has 96 divisors (see below), whose sum is σ = 232884386280. Its totient is φ = 19044864000.

The previous prime is 71537486749. The next prime is 71537486767. The reversal of 71537486760 is 6768473517.

71537486760 is a `hidden beast` number, since 7 + 1 + 537 + 48 + 6 + 7 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70684729956 + 852756804 = 265866^2 + 29202^2 .

It is a super-2 number, since 2×71537486760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71537486697 and 71537486706.

It is not an unprimeable number, because it can be changed into a prime (71537486767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51040 + ... + 381680.

Almost surely, 2^71537486760 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 71537486760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116442193140).

71537486760 is an abundant number, since it is smaller than the sum of its proper divisors (161346899520).

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

71537486760 is a wasteful number, since it uses less digits than its factorization.

71537486760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331259 (or 331252 counting only the distinct ones).

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

The spelling of 71537486760 in words is "seventy-one billion, five hundred thirty-seven million, four hundred eighty-six thousand, seven hundred sixty".