71653047840 has 576 divisors, whose sum is σ = 276804283392. Its totient is φ = 16721510400.

The previous prime is 71653047821. The next prime is 71653047841. The reversal of 71653047840 is 4874035617.

71653047840 is a `hidden beast` number, since 7 + 1 + 6 + 530 + 4 + 78 + 40 = 666.

It is a super-2 number, since 2×71653047840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (71653047841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165480264 + ... + 165480696.

It is an arithmetic number, because the mean of its divisors is an integer number (480562992).

Almost surely, 2^71653047840 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 71653047840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138402141696).

71653047840 is an abundant number, since it is smaller than the sum of its proper divisors (205151235552).

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

71653047840 is a wasteful number, since it uses less digits than its factorization.

71653047840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 71653047840 in words is "seventy-one billion, six hundred fifty-three million, forty-seven thousand, eight hundred forty".