71167632480000 has 2880 divisors, whose sum is σ = 314103134822400. Its totient is φ = 15547023360000.

The previous prime is 71167632479981. The next prime is 71167632480029. The reversal of 71167632480000 is 8423676117.

71167632480000 is a `hidden beast` number, since 7 + 1 + 1 + 6 + 7 + 632 + 4 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 83432159574 + ... + 83432160426.

It is an arithmetic number, because the mean of its divisors is an integer number (109063588480).

Almost surely, 2^{71167632480000} is an apocalyptic number.

71167632480000 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 71167632480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157051567411200).

71167632480000 is an abundant number, since it is smaller than the sum of its proper divisors (242935502342400).

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

71167632480000 is an equidigital number, since it uses as much as digits as its factorization.

71167632480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 71167632480000 in words is "seventy-one trillion, one hundred sixty-seven billion, six hundred thirty-two million, four hundred eighty thousand".