4640424600 has 192 divisors, whose sum is σ = 16506800640. Its totient is φ = 1056384000.

The previous prime is 4640424583. The next prime is 4640424629. The reversal of 4640424600 is 64240464.

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

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 47 ways as a sum of consecutive naturals, for example, 1102500 + ... + 1106700.

It is an arithmetic number, because the mean of its divisors is an integer number (85972920).

Almost surely, 2^4640424600 is an apocalyptic number.

4640424600 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 4640424600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253400320).

4640424600 is an abundant number, since it is smaller than the sum of its proper divisors (11866376040).

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

4640424600 is a wasteful number, since it uses less digits than its factorization.

4640424600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4640424600 is about 68120.6620637234. The cubic root of 4640424600 is about 1667.9610575822.

The spelling of 4640424600 in words is "four billion, six hundred forty million, four hundred twenty-four thousand, six hundred".