71422884000 has 960 divisors, whose sum is σ = 291950410752. Its totient is φ = 16982784000.

The previous prime is 71422883999. The next prime is 71422884007. The reversal of 71422884000 is 48822417.

It is a super-3 number, since 3×71422884000³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (71422884007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 130571727 + ... + 130572273.

Almost surely, 2^71422884000 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 71422884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145975205376).

71422884000 is an abundant number, since it is smaller than the sum of its proper divisors (220527526752).

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

71422884000 is a wasteful number, since it uses less digits than its factorization.

71422884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 71422884000 in words is "seventy-one billion, four hundred twenty-two million, eight hundred eighty-four thousand".