6980306580 has 288 divisors, whose sum is σ = 24122262528. Its totient is φ = 1621555200.

The previous prime is 6980306563. The next prime is 6980306629. The reversal of 6980306580 is 856030896.

6980306580 is a `hidden beast` number, since 69 + 8 + 0 + 3 + 0 + 6 + 580 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2972967 + ... + 2975313.

It is an arithmetic number, because the mean of its divisors is an integer number (83757856).

Almost surely, 2^6980306580 is an apocalyptic number.

6980306580 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 6980306580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12061131264).

6980306580 is an abundant number, since it is smaller than the sum of its proper divisors (17141955948).

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

6980306580 is a wasteful number, since it uses less digits than its factorization.

6980306580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6980306580 is about 83548.2290656122. The cubic root of 6980306580 is about 1911.1355855914.

The spelling of 6980306580 in words is "six billion, nine hundred eighty million, three hundred six thousand, five hundred eighty".