4769740800 has 432 divisors, whose sum is σ = 18654821640. Its totient is φ = 1155072000.

The previous prime is 4769740799. The next prime is 4769740873. The reversal of 4769740800 is 80479674.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5068330 + ... + 5069270.

Almost surely, 2^4769740800 is an apocalyptic number.

4769740800 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 4769740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9327410820).

4769740800 is an abundant number, since it is smaller than the sum of its proper divisors (13885080840).

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

4769740800 is a wasteful number, since it uses less digits than its factorization.

4769740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4769740800 is about 69063.3100857467. The cubic root of 4769740800 is about 1683.3131895334.

The spelling of 4769740800 in words is "four billion, seven hundred sixty-nine million, seven hundred forty thousand, eight hundred".