71631328000 has 288 divisors, whose sum is σ = 185747208192. Its totient is φ = 27495936000.

The previous prime is 71631327983. The next prime is 71631328007. The reversal of 71631328000 is 82313617.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (71631328007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161695779 + ... + 161696221.

It is an arithmetic number, because the mean of its divisors is an integer number (644955584).

Almost surely, 2^71631328000 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 71631328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92873604096).

71631328000 is an abundant number, since it is smaller than the sum of its proper divisors (114115880192).

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

71631328000 is a wasteful number, since it uses less digits than its factorization.

71631328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 71631328000 in words is "seventy-one billion, six hundred thirty-one million, three hundred twenty-eight thousand".