6612134100 has 288 divisors, whose sum is σ = 22771875840. Its totient is φ = 1460160000.

The previous prime is 6612134033. The next prime is 6612134147. The reversal of 6612134100 is 14312166.

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, 3388125 + ... + 3390075.

Almost surely, 2^6612134100 is an apocalyptic number.

6612134100 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 6612134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11385937920).

6612134100 is an abundant number, since it is smaller than the sum of its proper divisors (16159741740).

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

6612134100 is a wasteful number, since it uses less digits than its factorization.

6612134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6612134100 is about 81315.0299760137. The cubic root of 6612134100 is about 1876.9262905603.

Adding to 6612134100 its reverse (14312166), we get a palindrome (6626446266).

The spelling of 6612134100 in words is "six billion, six hundred twelve million, one hundred thirty-four thousand, one hundred".