71621898360480 has 3072 divisors, whose sum is σ = 305794621440000. Its totient is φ = 15485790781440.

The previous prime is 71621898360479. The next prime is 71621898360517. The reversal of 71621898360480 is 8406389812617.

71621898360480 is a `hidden beast` number, since 7 + 1 + 6 + 2 + 1 + 8 + 98 + 3 + 60 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 188975984931 + ... + 188975985309.

It is an arithmetic number, because the mean of its divisors is an integer number (99542520000).

Almost surely, 2^{71621898360480} 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 71621898360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152897310720000).

71621898360480 is an abundant number, since it is smaller than the sum of its proper divisors (234172723079520).

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

71621898360480 is a wasteful number, since it uses less digits than its factorization.

71621898360480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 71621898360480 in words is "seventy-one trillion, six hundred twenty-one billion, eight hundred ninety-eight million, three hundred sixty thousand, four hundred eighty".