4973748480 has 432 divisors, whose sum is σ = 18467008560. Its totient is φ = 1231552512.

The previous prime is 4973748473. The next prime is 4973748487. The reversal of 4973748480 is 848473794.

4973748480 is a `hidden beast` number, since 4 + 97 + 3 + 74 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (4973748473) and next prime (4973748487).

It can be written as a sum of positive squares in 8 ways, for example, as 1806336 + 4971942144 = 1344^2 + 70512^2 .

It is not an unprimeable number, because it can be changed into a prime (4973748487) by changing a digit.

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, 21346444 + ... + 21346676.

It is an arithmetic number, because the mean of its divisors is an integer number (42747705).

Almost surely, 2^4973748480 is an apocalyptic number.

4973748480 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 4973748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9233504280).

4973748480 is an abundant number, since it is smaller than the sum of its proper divisors (13493260080).

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

4973748480 is a wasteful number, since it uses less digits than its factorization.

4973748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 4973748480 is about 70524.8075502514. The cubic root of 4973748480 is about 1706.9780627543.

The spelling of 4973748480 in words is "four billion, nine hundred seventy-three million, seven hundred forty-eight thousand, four hundred eighty".