4976974080 has 432 divisors, whose sum is σ = 18749203200. Its totient is φ = 1211645952.

The previous prime is 4976974061. The next prime is 4976974109. The reversal of 4976974080 is 804796794.

It is a happy number.

4976974080 is a `hidden beast` number, since 497 + 6 + 9 + 74 + 0 + 80 = 666.

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 47 ways as a sum of consecutive naturals, for example, 25009821 + ... + 25010019.

Almost surely, 2^4976974080 is an apocalyptic number.

4976974080 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 4976974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374601600).

4976974080 is an abundant number, since it is smaller than the sum of its proper divisors (13772229120).

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

4976974080 is a wasteful number, since it uses less digits than its factorization.

4976974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 4976974080 is about 70547.6723925035. The cubic root of 4976974080 is about 1707.3469889692.

The spelling of 4976974080 in words is "four billion, nine hundred seventy-six million, nine hundred seventy-four thousand, eighty".