4769729287680 has 640 divisors, whose sum is σ = 18495976181760. Its totient is φ = 1023627755520.

The previous prime is 4769729287679. The next prime is 4769729287693. The reversal of 4769729287680 is 867829279674.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393893466 + ... + 393905574.

It is an arithmetic number, because the mean of its divisors is an integer number (28899962784).

Almost surely, 2^{4769729287680} is an apocalyptic number.

4769729287680 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 4769729287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9247988090880).

4769729287680 is an abundant number, since it is smaller than the sum of its proper divisors (13726246894080).

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

4769729287680 is a wasteful number, since it uses less digits than its factorization.

4769729287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12590 (or 12574 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 75.

The spelling of 4769729287680 in words is "four trillion, seven hundred sixty-nine billion, seven hundred twenty-nine million, two hundred eighty-seven thousand, six hundred eighty".