71706900545280 has 3456 divisors, whose sum is σ = 352155034183680. Its totient is φ = 12973981040640.

The previous prime is 71706900545237. The next prime is 71706900545327. The reversal of 71706900545280 is 8254500960717.

71706900545280 is a `hidden beast` number, since 7 + 1 + 7 + 0 + 6 + 90 + 0 + 545 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×71706900545280² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 64195971282 + ... + 64195972398.

It is an arithmetic number, because the mean of its divisors is an integer number (101896711280).

Almost surely, 2^{71706900545280} is an apocalyptic number.

71706900545280 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 71706900545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176077517091840).

71706900545280 is an abundant number, since it is smaller than the sum of its proper divisors (280448133638400).

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

71706900545280 is a wasteful number, since it uses less digits than its factorization.

71706900545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 71706900545280 in words is "seventy-one trillion, seven hundred six billion, nine hundred million, five hundred forty-five thousand, two hundred eighty".