4976772192 has 192 divisors, whose sum is σ = 16795699200. Its totient is φ = 1421794944.

The previous prime is 4976772181. The next prime is 4976772197. The reversal of 4976772192 is 2912776794.

4976772192 is a `hidden beast` number, since 497 + 67 + 7 + 2 + 1 + 92 = 666.

It is a super-2 number, since 2×4976772192² = 49536522902128969728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4976772197) 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 31 ways as a sum of consecutive naturals, for example, 484809 + ... + 494967.

It is an arithmetic number, because the mean of its divisors is an integer number (87477600).

Almost surely, 2^4976772192 is an apocalyptic number.

4976772192 is a gapful number since it is divisible by the number (42) 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 4976772192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8397849600).

4976772192 is an abundant number, since it is smaller than the sum of its proper divisors (11818927008).

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

4976772192 is an equidigital number, since it uses as much as digits as its factorization.

4976772192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10197 (or 10171 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 4976772192 is about 70546.2415157604. The cubic root of 4976772192 is about 1707.3239028179.

The spelling of 4976772192 in words is "four billion, nine hundred seventy-six million, seven hundred seventy-two thousand, one hundred ninety-two".