4973760288 has 180 divisors, whose sum is σ = 17016319782. Its totient is φ = 1421038080.

The previous prime is 4973760277. The next prime is 4973760293. The reversal of 4973760288 is 8820673794.

4973760288 is a `hidden beast` number, since 497 + 3 + 76 + 0 + 2 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4325955984 + 647804304 = 65772^2 + 25452^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 107428 + ... + 146588.

Almost surely, 2^4973760288 is an apocalyptic number.

4973760288 is a gapful number since it is divisible by the number (48) 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 4973760288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8508159891).

4973760288 is an abundant number, since it is smaller than the sum of its proper divisors (12042559494).

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

4973760288 is a wasteful number, since it uses less digits than its factorization.

4973760288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39197 (or 39173 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 4973760288 is about 70524.8912654249. The cubic root of 4973760288 is about 1706.9794135786.

The spelling of 4973760288 in words is "four billion, nine hundred seventy-three million, seven hundred sixty thousand, two hundred eighty-eight".