4959792000 has 640 divisors, whose sum is σ = 19060984800. Its totient is φ = 1277337600.

The previous prime is 4959791999. The next prime is 4959792001. The reversal of 4959792000 is 2979594.

It is an interprime number because it is at equal distance from previous prime (4959791999) and next prime (4959792001).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4959792001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 55727956 + ... + 55728044.

Almost surely, 2^4959792000 is an apocalyptic number.

4959792000 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 4959792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9530492400).

4959792000 is an abundant number, since it is smaller than the sum of its proper divisors (14101192800).

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

4959792000 is an equidigital number, since it uses as much as digits as its factorization.

4959792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 4959792000 is about 70425.7907303851. The cubic root of 4959792000 is about 1705.3799573453.

The spelling of 4959792000 in words is "four billion, nine hundred fifty-nine million, seven hundred ninety-two thousand".