6706616580 has 144 divisors (see below), whose sum is σ = 21708261120. Its totient is φ = 1671031296.

The previous prime is 6706616573. The next prime is 6706616597. The reversal of 6706616580 is 856166076.

6706616580 is a `hidden beast` number, since 6 + 7 + 0 + 6 + 61 + 6 + 580 = 666.

It is a super-2 number, since 2×6706616580² = 89957411902261792800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236229 + ... + 263091.

Almost surely, 2^6706616580 is an apocalyptic number.

6706616580 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6706616580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10854130560).

6706616580 is an abundant number, since it is smaller than the sum of its proper divisors (15001644540).

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

6706616580 is a wasteful number, since it uses less digits than its factorization.

6706616580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26970 (or 26965 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6706616580 is about 81893.9349402628. The cubic root of 6706616580 is about 1885.8240039958.

It can be divided in two parts, 6706 and 616580, that added together give a triangular number (623286 = T₁₁₁₆).

The spelling of 6706616580 in words is "six billion, seven hundred six million, six hundred sixteen thousand, five hundred eighty".