4760738126672 has 160 divisors (see below), whose sum is σ = 10689063606144. Its totient is φ = 2030059929600.

The previous prime is 4760738126647. The next prime is 4760738126693. The reversal of 4760738126672 is 2766218370674.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2285518943 + ... + 2285521025.

Almost surely, 2^{4760738126672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4760738126672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344531803072).

4760738126672 is an abundant number, since it is smaller than the sum of its proper divisors (5928325479472).

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

4760738126672 is a wasteful number, since it uses less digits than its factorization.

4760738126672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 59.

The spelling of 4760738126672 in words is "four trillion, seven hundred sixty billion, seven hundred thirty-eight million, one hundred twenty-six thousand, six hundred seventy-two".