4768794624 has 192 divisors, whose sum is σ = 14216005440. Its totient is φ = 1409024000.

The previous prime is 4768794623. The next prime is 4768794649. The reversal of 4768794624 is 4264978674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4768794623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2770084 + ... + 2771804.

It is an arithmetic number, because the mean of its divisors is an integer number (74041695).

Almost surely, 2^4768794624 is an apocalyptic number.

4768794624 is a gapful number since it is divisible by the number (44) 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 4768794624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108002720).

4768794624 is an abundant number, since it is smaller than the sum of its proper divisors (9447210816).

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

4768794624 is a wasteful number, since it uses less digits than its factorization.

4768794624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1778 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The square root of 4768794624 is about 69056.4596833634. The cubic root of 4768794624 is about 1683.2018755973.

It can be divided in two parts, 47687 and 94624, that added together give a triangular number (142311 = T₅₃₃).

The spelling of 4768794624 in words is "four billion, seven hundred sixty-eight million, seven hundred ninety-four thousand, six hundred twenty-four".