4760016129792 has 864 divisors, whose sum is σ = 18046375925760. Its totient is φ = 1215340277760.

The previous prime is 4760016129769. The next prime is 4760016129797. The reversal of 4760016129792 is 2979216100674.

4760016129792 is a `hidden beast` number, since 4 + 7 + 600 + 1 + 6 + 1 + 29 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4760016129797) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282602523 + ... + 282619365.

Almost surely, 2^{4760016129792} is an apocalyptic number.

4760016129792 is a gapful number since it is divisible by the number (42) 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 4760016129792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9023187962880).

4760016129792 is an abundant number, since it is smaller than the sum of its proper divisors (13286359795968).

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

4760016129792 is a wasteful number, since it uses less digits than its factorization.

4760016129792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16951 (or 16925 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 4760016129792 in words is "four trillion, seven hundred sixty billion, sixteen million, one hundred twenty-nine thousand, seven hundred ninety-two".