4976880000 has 320 divisors, whose sum is σ = 16776817200. Its totient is φ = 1306624000.

The previous prime is 4976879989. The next prime is 4976880019. The reversal of 4976880000 is 886794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21359884 + ... + 21360116.

Almost surely, 2^4976880000 is an apocalyptic number.

4976880000 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 4976880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388408600).

4976880000 is an abundant number, since it is smaller than the sum of its proper divisors (11799937200).

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

4976880000 is an equidigital number, since it uses as much as digits as its factorization.

4976880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 4976880000 is about 70547.0056061914. The cubic root of 4976880000 is about 1707.3362308784.

The spelling of 4976880000 in words is "four billion, nine hundred seventy-six million, eight hundred eighty thousand".