71527847040 has 512 divisors, whose sum is σ = 276252883200. Its totient is φ = 17602375680.

The previous prime is 71527847023. The next prime is 71527847057. The reversal of 71527847040 is 4074872517.

71527847040 is a `hidden beast` number, since 7 + 1 + 527 + 84 + 7 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (71527847023) and next prime (71527847057).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18193875 + ... + 18197805.

Almost surely, 2^71527847040 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 71527847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138126441600).

71527847040 is an abundant number, since it is smaller than the sum of its proper divisors (204725036160).

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

71527847040 is an equidigital number, since it uses as much as digits as its factorization.

71527847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 71527847040 in words is "seventy-one billion, five hundred twenty-seven million, eight hundred forty-seven thousand, forty".