71361974880 has 576 divisors, whose sum is σ = 291628366848. Its totient is φ = 15536885760.

The previous prime is 71361974869. The next prime is 71361974897. The reversal of 71361974880 is 8847916317.

71361974880 is a `hidden beast` number, since 7 + 13 + 61 + 97 + 488 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73492795 + ... + 73493765.

It is an arithmetic number, because the mean of its divisors is an integer number (506299248).

Almost surely, 2^71361974880 is an apocalyptic number.

71361974880 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 71361974880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145814183424).

71361974880 is an abundant number, since it is smaller than the sum of its proper divisors (220266391968).

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

71361974880 is a wasteful number, since it uses less digits than its factorization.

71361974880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 71361974880 in words is "seventy-one billion, three hundred sixty-one million, nine hundred seventy-four thousand, eight hundred eighty".