4964199680 has 144 divisors (see below), whose sum is σ = 13029666048. Its totient is φ = 1797120000.

The previous prime is 4964199679. The next prime is 4964199689. The reversal of 4964199680 is 869914694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4964199689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3815030 + ... + 3816330.

It is an arithmetic number, because the mean of its divisors is an integer number (90483792).

Almost surely, 2^4964199680 is an apocalyptic number.

4964199680 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 4964199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514833024).

4964199680 is an abundant number, since it is smaller than the sum of its proper divisors (8065466368).

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

4964199680 is a wasteful number, since it uses less digits than its factorization.

4964199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 56.

The square root of 4964199680 is about 70457.0768624416. The cubic root of 4964199680 is about 1705.8849881715.

The spelling of 4964199680 in words is "four billion, nine hundred sixty-four million, one hundred ninety-nine thousand, six hundred eighty".