721371116611584 has 480 divisors, whose sum is σ = 2248877612741760. Its totient is φ = 229949759913984.

The previous prime is 721371116611573. The next prime is 721371116611609. The reversal of 721371116611584 is 485116611173127.

721371116611584 is a `hidden beast` number, since 7 + 2 + 1 + 3 + 7 + 1 + 1 + 16 + 611 + 5 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 721371116611584.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18821467429 + ... + 18821505755.

It is an arithmetic number, because the mean of its divisors is an integer number (4685161693212).

Almost surely, 2^{721371116611584} 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 721371116611584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124438806370880).

721371116611584 is an abundant number, since it is smaller than the sum of its proper divisors (1527506496130176).

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

721371116611584 is a wasteful number, since it uses less digits than its factorization.

721371116611584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43317 (or 43288 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The spelling of 721371116611584 in words is "seven hundred twenty-one trillion, three hundred seventy-one billion, one hundred sixteen million, six hundred eleven thousand, five hundred eighty-four".