4742209920 has 512 divisors, whose sum is σ = 18683136000. Its totient is φ = 1001054208.

The previous prime is 4742209909. The next prime is 4742209931. The reversal of 4742209920 is 299022474.

It is an interprime number because it is at equal distance from previous prime (4742209909) and next prime (4742209931).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 163524466 + ... + 163524494.

It is an arithmetic number, because the mean of its divisors is an integer number (36490500).

Almost surely, 2^4742209920 is an apocalyptic number.

4742209920 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 4742209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9341568000).

4742209920 is an abundant number, since it is smaller than the sum of its proper divisors (13940926080).

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

4742209920 is an equidigital number, since it uses as much as digits as its factorization.

4742209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 4742209920 is about 68863.7053897044. The cubic root of 4742209920 is about 1680.0682511955.

The spelling of 4742209920 in words is "four billion, seven hundred forty-two million, two hundred nine thousand, nine hundred twenty".