4664763400 has 96 divisors (see below), whose sum is σ = 12346084800. Its totient is φ = 1622508800.

The previous prime is 4664763371. The next prime is 4664763401. The reversal of 4664763400 is 43674664.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4664763401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4506 + ... + 96694.

It is an arithmetic number, because the mean of its divisors is an integer number (128605050).

Almost surely, 2^4664763400 is an apocalyptic number.

4664763400 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 4664763400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173042400).

4664763400 is an abundant number, since it is smaller than the sum of its proper divisors (7681321400).

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

4664763400 is a wasteful number, since it uses less digits than its factorization.

4664763400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92239 (or 92230 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The square root of 4664763400 is about 68299.0732001540. The cubic root of 4664763400 is about 1670.8720987904.

The spelling of 4664763400 in words is "four billion, six hundred sixty-four million, seven hundred sixty-three thousand, four hundred".