4612146660 has 288 divisors, whose sum is σ = 16133644800. Its totient is φ = 1055953920.

The previous prime is 4612146601. The next prime is 4612146661. The reversal of 4612146660 is 666412164.

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 (4612146661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2697886 + ... + 2699594.

It is an arithmetic number, because the mean of its divisors is an integer number (56019600).

Almost surely, 2^4612146660 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 4612146660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066822400).

4612146660 is an abundant number, since it is smaller than the sum of its proper divisors (11521498140).

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

4612146660 is a wasteful number, since it uses less digits than its factorization.

4612146660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4612146660 is about 67912.7871611820. The cubic root of 4612146660 is about 1664.5660639042.

The spelling of 4612146660 in words is "four billion, six hundred twelve million, one hundred forty-six thousand, six hundred sixty".