4753864752 has 400 divisors, whose sum is σ = 16338120960. Its totient is φ = 1180666368.

The previous prime is 4753864741. The next prime is 4753864763. The reversal of 4753864752 is 2574683574.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4753864741) and next prime (4753864763).

It is a junction number, because it is equal to n+sod(n) for n = 4753864695 and 4753864704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28466173 + ... + 28466339.

Almost surely, 2^4753864752 is an apocalyptic number.

4753864752 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 4753864752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8169060480).

4753864752 is an abundant number, since it is smaller than the sum of its proper divisors (11584256208).

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

4753864752 is a wasteful number, since it uses less digits than its factorization.

4753864752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 51.

The square root of 4753864752 is about 68948.2759175311. The cubic root of 4753864752 is about 1681.4434816056.

The spelling of 4753864752 in words is "four billion, seven hundred fifty-three million, eight hundred sixty-four thousand, seven hundred fifty-two".