71604960000 has 720 divisors, whose sum is σ = 276158201088. Its totient is φ = 16128000000.

The previous prime is 71604959981. The next prime is 71604960023. The reversal of 71604960000 is 6940617.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 339359895 + ... + 339360105.

Almost surely, 2^71604960000 is an apocalyptic number.

71604960000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71604960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138079100544).

71604960000 is an abundant number, since it is smaller than the sum of its proper divisors (204553241088).

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

71604960000 is a wasteful number, since it uses less digits than its factorization.

71604960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 71604960000 in words is "seventy-one billion, six hundred four million, nine hundred sixty thousand".