4662506880 has 256 divisors, whose sum is σ = 16918372800. Its totient is φ = 1212825600.

The previous prime is 4662506867. The next prime is 4662506897. The reversal of 4662506880 is 886052664.

4662506880 is a `hidden beast` number, since 4 + 6 + 62 + 506 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705190 + ... + 711770.

Almost surely, 2^4662506880 is an apocalyptic number.

4662506880 is a gapful number since it is divisible by the number (40) 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 4662506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8459186400).

4662506880 is an abundant number, since it is smaller than the sum of its proper divisors (12255865920).

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

4662506880 is a wasteful number, since it uses less digits than its factorization.

4662506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6650 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4662506880 is about 68282.5517976591. The cubic root of 4662506880 is about 1670.6026342894.

The spelling of 4662506880 in words is "four billion, six hundred sixty-two million, five hundred six thousand, eight hundred eighty".