71970220800 has 648 divisors, whose sum is σ = 276764067216. Its totient is φ = 17777295360.

The previous prime is 71970220793. The next prime is 71970220831. The reversal of 71970220800 is 802207917.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65605852 + ... + 65606948.

It is an arithmetic number, because the mean of its divisors is an integer number (427105042).

Almost surely, 2^71970220800 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 71970220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138382033608).

71970220800 is an abundant number, since it is smaller than the sum of its proper divisors (204793846416).

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

71970220800 is a wasteful number, since it uses less digits than its factorization.

71970220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 71970220800 in words is "seventy-one billion, nine hundred seventy million, two hundred twenty thousand, eight hundred".