71947180800 has 1620 divisors, whose sum is σ = 309993923008. Its totient is φ = 16422912000.

The previous prime is 71947180741. The next prime is 71947180817. The reversal of 71947180800 is 808174917.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1944518382 + ... + 1944518418.

Almost surely, 2^71947180800 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 71947180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154996961504).

71947180800 is an abundant number, since it is smaller than the sum of its proper divisors (238046742208).

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

71947180800 is a wasteful number, since it uses less digits than its factorization.

71947180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 71947180800 in words is "seventy-one billion, nine hundred forty-seven million, one hundred eighty thousand, eight hundred".