4664260800 has 336 divisors, whose sum is σ = 17187367200. Its totient is φ = 1230336000.

The previous prime is 4664260789. The next prime is 4664260841. The reversal of 4664260800 is 80624664.

It is a happy number.

4664260800 is a `hidden beast` number, since 4 + 6 + 6 + 42 + 608 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4362666 + ... + 4363734.

Almost surely, 2^4664260800 is an apocalyptic number.

4664260800 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 4664260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593683600).

4664260800 is an abundant number, since it is smaller than the sum of its proper divisors (12523106400).

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

4664260800 is a wasteful number, since it uses less digits than its factorization.

4664260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4664260800 is about 68295.3936953291. The cubic root of 4664260800 is about 1670.8120878526.

The spelling of 4664260800 in words is "four billion, six hundred sixty-four million, two hundred sixty thousand, eight hundred".