4664132400 has 60 divisors (see below), whose sum is σ = 14940774632. Its totient is φ = 1243768320.

The previous prime is 4664132353. The next prime is 4664132411. The reversal of 4664132400 is 42314664.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1942189 + ... + 1944588.

Almost surely, 2^4664132400 is an apocalyptic number.

4664132400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4664132400 is an abundant number, since it is smaller than the sum of its proper divisors (10276642232).

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

4664132400 is a wasteful number, since it uses less digits than its factorization.

4664132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886798 (or 3886787 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4664132400 is about 68294.4536547442. The cubic root of 4664132400 is about 1670.7967560741.

The spelling of 4664132400 in words is "four billion, six hundred sixty-four million, one hundred thirty-two thousand, four hundred".