71647891200 has 216 divisors, whose sum is σ = 262726153200. Its totient is φ = 19106058240.

The previous prime is 71647891193. The next prime is 71647891213. The reversal of 71647891200 is 219874617.

It is a happy number.

71647891200 is a `hidden beast` number, since 71 + 6 + 478 + 91 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 34515 + ... + 380114.

Almost surely, 2^71647891200 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 71647891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131363076600).

71647891200 is an abundant number, since it is smaller than the sum of its proper divisors (191078262000).

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

71647891200 is a wasteful number, since it uses less digits than its factorization.

71647891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414664 (or 414639 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 71647891200 in words is "seventy-one billion, six hundred forty-seven million, eight hundred ninety-one thousand, two hundred".