6111640080 has 1280 divisors, whose sum is σ = 28798156800. Its totient is φ = 1154580480.

The previous prime is 6111640079. The next prime is 6111640091. The reversal of 6111640080 is 800461116.

6111640080 is a `hidden beast` number, since 6 + 1 + 11 + 640 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 103587091 + ... + 103587149.

It is an arithmetic number, because the mean of its divisors is an integer number (22498560).

Almost surely, 2^6111640080 is an apocalyptic number.

6111640080 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 6111640080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399078400).

6111640080 is an abundant number, since it is smaller than the sum of its proper divisors (22686516720).

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

6111640080 is a wasteful number, since it uses less digits than its factorization.

6111640080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 6111640080 is about 78176.9792202283. The cubic root of 6111640080 is about 1828.3216000531.

The spelling of 6111640080 in words is "six billion, one hundred eleven million, six hundred forty thousand, eighty".