586720661760 has 576 divisors, whose sum is σ = 2176061368320. Its totient is φ = 151389388800.

The previous prime is 586720661743. The next prime is 586720661773. The reversal of 586720661760 is 67166027685.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×586720661760² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 586720661697 and 586720661706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86776780 + ... + 86783540.

It is an arithmetic number, because the mean of its divisors is an integer number (3777884320).

Almost surely, 2^586720661760 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 586720661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088030684160).

586720661760 is an abundant number, since it is smaller than the sum of its proper divisors (1589340706560).

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

586720661760 is an frugal number, since it uses more digits than its factorization.

586720661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 586720661760 in words is "five hundred eighty-six billion, seven hundred twenty million, six hundred sixty-one thousand, seven hundred sixty".