4760995345920 has 960 divisors, whose sum is σ = 19751611815936. Its totient is φ = 1086261166080.

The previous prime is 4760995345879. The next prime is 4760995346011. The reversal of 4760995345920 is 295435990674.

4760995345920 is a `hidden beast` number, since 4 + 7 + 6 + 0 + 9 + 9 + 5 + 34 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116308497 + ... + 116349423.

Almost surely, 2^{4760995345920} is an apocalyptic number.

4760995345920 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 4760995345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9875805907968).

4760995345920 is an abundant number, since it is smaller than the sum of its proper divisors (14990616470016).

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

4760995345920 is a wasteful number, since it uses less digits than its factorization.

4760995345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40993 (or 40965 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 4760995345920 in words is "four trillion, seven hundred sixty billion, nine hundred ninety-five million, three hundred forty-five thousand, nine hundred twenty".