4994589600 has 1620 divisors, whose sum is σ = 25080843942. Its totient is φ = 958003200.

The previous prime is 4994589581. The next prime is 4994589623. The reversal of 4994589600 is 69854994.

It can be written as a sum of positive squares in 3 ways, for example, as 2773918224 + 2220671376 = 52668^2 + 47124^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 384199194 + ... + 384199206.

Almost surely, 2^4994589600 is an apocalyptic number.

4994589600 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 4994589600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12540421971).

4994589600 is an abundant number, since it is smaller than the sum of its proper divisors (20086254342).

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

4994589600 is a wasteful number, since it uses less digits than its factorization.

4994589600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 4994589600 is about 70672.4104583960. The cubic root of 4994589600 is about 1709.3589471514.

The spelling of 4994589600 in words is "four billion, nine hundred ninety-four million, five hundred eighty-nine thousand, six hundred".