4920435072 has 384 divisors, whose sum is σ = 17346201600. Its totient is φ = 1360488960.

The previous prime is 4920435059. The next prime is 4920435083. The reversal of 4920435072 is 2705340294.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158723697 + ... + 158723727.

It is an arithmetic number, because the mean of its divisors is an integer number (45172400).

Almost surely, 2^4920435072 is an apocalyptic number.

4920435072 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 4920435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673100800).

4920435072 is an abundant number, since it is smaller than the sum of its proper divisors (12425766528).

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

4920435072 is an frugal number, since it uses more digits than its factorization.

4920435072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4920435072 is about 70145.8129327760. The cubic root of 4920435072 is about 1700.8571308577.

The spelling of 4920435072 in words is "four billion, nine hundred twenty million, four hundred thirty-five thousand, seventy-two".