4969474272 has 288 divisors, whose sum is σ = 17316778752. Its totient is φ = 1319473152.

The previous prime is 4969474271. The next prime is 4969474273. The reversal of 4969474272 is 2724749694.

4969474272 is a `hidden beast` number, since 49 + 69 + 474 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (4969474271) and next prime (4969474273).

It is a tau number, because it is divible by the number of its divisors (288).

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 (4969474271) 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, 2843703 + ... + 2845449.

It is an arithmetic number, because the mean of its divisors is an integer number (60127704).

Almost surely, 2^4969474272 is an apocalyptic number.

4969474272 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 4969474272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8658389376).

4969474272 is an abundant number, since it is smaller than the sum of its proper divisors (12347304480).

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

4969474272 is a wasteful number, since it uses less digits than its factorization.

4969474272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1859 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 4969474272 is about 70494.4981682968. The cubic root of 4969474272 is about 1706.4889567838.

The spelling of 4969474272 in words is "four billion, nine hundred sixty-nine million, four hundred seventy-four thousand, two hundred seventy-two".