4769435725824 has 1248 divisors, whose sum is σ = 17039209144320. Its totient is φ = 1170987417600.

The previous prime is 4769435725807. The next prime is 4769435725853. The reversal of 4769435725824 is 4285275349674.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19955797897 + ... + 19955798135.

Almost surely, 2^{4769435725824} is an apocalyptic number.

4769435725824 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 4769435725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519604572160).

4769435725824 is an abundant number, since it is smaller than the sum of its proper divisors (12269773418496).

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

4769435725824 is a wasteful number, since it uses less digits than its factorization.

4769435725824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 416 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 66.

The spelling of 4769435725824 in words is "four trillion, seven hundred sixty-nine billion, four hundred thirty-five million, seven hundred twenty-five thousand, eight hundred twenty-four".