580147064640 has 2688 divisors, whose sum is σ = 2680593592320. Its totient is φ = 118244966400.

The previous prime is 580147064611. The next prime is 580147064641. The reversal of 580147064640 is 46460741085.

580147064640 is a `hidden beast` number, since 5 + 80 + 1 + 470 + 64 + 6 + 40 = 666.

It is a super-2 number, since 2×580147064640² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580147064641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18714421425 + ... + 18714421455.

It is an arithmetic number, because the mean of its divisors is an integer number (997244640).

Almost surely, 2^580147064640 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 580147064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340296796160).

580147064640 is an abundant number, since it is smaller than the sum of its proper divisors (2100446527680).

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

580147064640 is a wasteful number, since it uses less digits than its factorization.

580147064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 580147064640 in words is "five hundred eighty billion, one hundred forty-seven million, sixty-four thousand, six hundred forty".