4661066592 has 432 divisors, whose sum is σ = 17238351312. Its totient is φ = 1227985920.

The previous prime is 4661066573. The next prime is 4661066621. The reversal of 4661066592 is 2956601664.

4661066592 is a `hidden beast` number, since 46 + 6 + 10 + 6 + 6 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4952842 + ... + 4953782.

It is an arithmetic number, because the mean of its divisors is an integer number (39903591).

Almost surely, 2^4661066592 is an apocalyptic number.

4661066592 is a gapful number since it is divisible by the number (42) 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 4661066592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8619175656).

4661066592 is an abundant number, since it is smaller than the sum of its proper divisors (12577284720).

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

4661066592 is a wasteful number, since it uses less digits than its factorization.

4661066592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4661066592 is about 68272.0044527770. The cubic root of 4661066592 is about 1670.4305954562.

The spelling of 4661066592 in words is "four billion, six hundred sixty-one million, sixty-six thousand, five hundred ninety-two".