71490124800 has 528 divisors, whose sum is σ = 264174029280. Its totient is φ = 18945146880.

The previous prime is 71490124751. The next prime is 71490124817. The reversal of 71490124800 is 842109417.

71490124800 is a `hidden beast` number, since 71 + 490 + 1 + 24 + 80 + 0 = 666.

It is a super-2 number, since 2×71490124800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202521424 + ... + 202521776.

Almost surely, 2^71490124800 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 71490124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132087014640).

71490124800 is an abundant number, since it is smaller than the sum of its proper divisors (192683904480).

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

71490124800 is a wasteful number, since it uses less digits than its factorization.

71490124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 71490124800 in words is "seventy-one billion, four hundred ninety million, one hundred twenty-four thousand, eight hundred".