4770202752 has 448 divisors, whose sum is σ = 16678305600. Its totient is φ = 1330255872.

The previous prime is 4770202751. The next prime is 4770202753. The reversal of 4770202752 is 2572020774.

It is an interprime number because it is at equal distance from previous prime (4770202751) and next prime (4770202753).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (4770202751) 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 55 ways as a sum of consecutive naturals, for example, 43763274 + ... + 43763382.

Almost surely, 2^4770202752 is an apocalyptic number.

4770202752 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 4770202752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8339152800).

4770202752 is an abundant number, since it is smaller than the sum of its proper divisors (11908102848).

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

4770202752 is an equidigital number, since it uses as much as digits as its factorization.

4770202752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 4770202752 is about 69066.6544144133. The cubic root of 4770202752 is about 1683.3675310461.

The spelling of 4770202752 in words is "four billion, seven hundred seventy million, two hundred two thousand, seven hundred fifty-two".