6612406632 has 192 divisors, whose sum is σ = 20565090000. Its totient is φ = 1901371392.

The previous prime is 6612406627. The next prime is 6612406637. The reversal of 6612406632 is 2366042166.

6612406632 is a `hidden beast` number, since 6 + 6 + 12 + 4 + 0 + 6 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (6612406627) and next prime (6612406637).

It can be written as a sum of positive squares in 8 ways, for example, as 2014752996 + 4597653636 = 44886^2 + 67806^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6612406637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2369494 + ... + 2372282.

Almost surely, 2^6612406632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6612406632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10282545000).

6612406632 is an abundant number, since it is smaller than the sum of its proper divisors (13952683368).

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

6612406632 is a wasteful number, since it uses less digits than its factorization.

6612406632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6612406632 is about 81316.7057375051. The cubic root of 6612406632 is about 1876.9520772650.

Adding to 6612406632 its reverse (2366042166), we get a palindrome (8978448798).

The spelling of 6612406632 in words is "six billion, six hundred twelve million, four hundred six thousand, six hundred thirty-two".