4733863680 has 1152 divisors, whose sum is σ = 21098004480. Its totient is φ = 875888640.

The previous prime is 4733863621. The next prime is 4733863681. The reversal of 4733863680 is 863683374.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4733863681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152705265 + ... + 152705295.

It is an arithmetic number, because the mean of its divisors is an integer number (18314240).

Almost surely, 2^4733863680 is an apocalyptic number.

4733863680 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 4733863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10549002240).

4733863680 is an abundant number, since it is smaller than the sum of its proper divisors (16364140800).

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

4733863680 is a wasteful number, since it uses less digits than its factorization.

4733863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 4733863680 is about 68803.0790008703. The cubic root of 4733863680 is about 1679.0820381942.

The spelling of 4733863680 in words is "four billion, seven hundred thirty-three million, eight hundred sixty-three thousand, six hundred eighty".