580606678080 has 1680 divisors, whose sum is σ = 2522567057472. Its totient is φ = 124963430400.

The previous prime is 580606678031. The next prime is 580606678087. The reversal of 580606678080 is 80876606085.

It is a super-2 number, since 2×580606678080² (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 not an unprimeable number, because it can be changed into a prime (580606678087) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3562004079 + ... + 3562004241.

Almost surely, 2^580606678080 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 580606678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261283528736).

580606678080 is an abundant number, since it is smaller than the sum of its proper divisors (1941960379392).

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

580606678080 is a wasteful number, since it uses less digits than its factorization.

580606678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 580606678080 in words is "five hundred eighty billion, six hundred six million, six hundred seventy-eight thousand, eighty".