4664385600 has 168 divisors, whose sum is σ = 17489350848. Its totient is φ = 1066137600.

The previous prime is 4664385587. The next prime is 4664385617. The reversal of 4664385600 is 65834664.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35811 + ... + 103010.

Almost surely, 2^4664385600 is an apocalyptic number.

4664385600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4664385600 is an abundant number, since it is smaller than the sum of its proper divisors (12824965248).

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

4664385600 is a wasteful number, since it uses less digits than its factorization.

4664385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138853 (or 138838 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 4664385600 is about 68296.3073672362. The cubic root of 4664385600 is about 1670.8269894985.

It can be divided in two parts, 4664385 and 600, that added together give a triangular number (4664985 = T₃₀₅₄).

The spelling of 4664385600 in words is "four billion, six hundred sixty-four million, three hundred eighty-five thousand, six hundred".