6612311160 has 768 divisors, whose sum is σ = 28983951360. Its totient is φ = 1267384320.

The previous prime is 6612311149. The next prime is 6612311171. The reversal of 6612311160 is 611132166.

6612311160 is a `hidden beast` number, since 6 + 612 + 31 + 1 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6612311149) and next prime (6612311171).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17264329 + ... + 17264711.

It is an arithmetic number, because the mean of its divisors is an integer number (37739520).

Almost surely, 2^6612311160 is an apocalyptic number.

6612311160 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 6612311160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14491975680).

6612311160 is an abundant number, since it is smaller than the sum of its proper divisors (22371640200).

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

6612311160 is a wasteful number, since it uses less digits than its factorization.

6612311160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6612311160 is about 81316.1186973407. The cubic root of 6612311160 is about 1876.9430438807.

The spelling of 6612311160 in words is "six billion, six hundred twelve million, three hundred eleven thousand, one hundred sixty".