71658106800 has 480 divisors, whose sum is σ = 277734842880. Its totient is φ = 15444172800.

The previous prime is 71658106777. The next prime is 71658106841. The reversal of 71658106800 is 860185617.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10471380 + ... + 10478220.

It is an arithmetic number, because the mean of its divisors is an integer number (578614256).

Almost surely, 2^71658106800 is an apocalyptic number.

71658106800 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 71658106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138867421440).

71658106800 is an abundant number, since it is smaller than the sum of its proper divisors (206076736080).

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

71658106800 is a wasteful number, since it uses less digits than its factorization.

71658106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 71658106800 in words is "seventy-one billion, six hundred fifty-eight million, one hundred six thousand, eight hundred".