4273098624 has 384 divisors, whose sum is σ = 13544294400. Its totient is φ = 1339213824.

The previous prime is 4273098623. The next prime is 4273098647. The reversal of 4273098624 is 4268903724.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 4273098624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4273098623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54089817 + ... + 54089895.

It is an arithmetic number, because the mean of its divisors is an integer number (35271600).

Almost surely, 2^4273098624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4273098624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772147200).

4273098624 is an abundant number, since it is smaller than the sum of its proper divisors (9271195776).

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

4273098624 is an equidigital number, since it uses as much as digits as its factorization.

4273098624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4273098624 is about 65368.9423503241. The cubic root of 4273098624 is about 1622.7351326169.

The spelling of 4273098624 in words is "four billion, two hundred seventy-three million, ninety-eight thousand, six hundred twenty-four".