4762008420 has 96 divisors (see below), whose sum is σ = 14373448320. Its totient is φ = 1171031040.

The previous prime is 4762008409. The next prime is 4762008443. The reversal of 4762008420 is 248002674.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004616 + ... + 1009344.

It is an arithmetic number, because the mean of its divisors is an integer number (149723420).

Almost surely, 2^4762008420 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 4762008420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186724160).

4762008420 is an abundant number, since it is smaller than the sum of its proper divisors (9611439900).

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

4762008420 is a wasteful number, since it uses less digits than its factorization.

4762008420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4762008420 is about 69007.3070044035. The cubic root of 4762008420 is about 1682.4030731917.

It can be divided in two parts, 476200 and 8420, that added together give a triangular number (484620 = T₉₈₄).

The spelling of 4762008420 in words is "four billion, seven hundred sixty-two million, eight thousand, four hundred twenty".