71557466904 has 768 divisors, whose sum is σ = 265164364800. Its totient is φ = 17500665600.

The previous prime is 71557466887. The next prime is 71557466909. The reversal of 71557466904 is 40966475517.

71557466904 is a `hidden beast` number, since 7 + 1 + 5 + 574 + 6 + 69 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71557466909) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1933985574 + ... + 1933985610.

It is an arithmetic number, because the mean of its divisors is an integer number (345266100).

Almost surely, 2^71557466904 is an apocalyptic number.

71557466904 is a gapful number since it is divisible by the number (74) 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 71557466904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132582182400).

71557466904 is an abundant number, since it is smaller than the sum of its proper divisors (193606897896).

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

71557466904 is a wasteful number, since it uses less digits than its factorization.

71557466904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 71557466904 in words is "seventy-one billion, five hundred fifty-seven million, four hundred sixty-six thousand, nine hundred four".