4760607879552 has 512 divisors, whose sum is σ = 14895159552000. Its totient is φ = 1346569297920.

The previous prime is 4760607879551. The next prime is 4760607879611. The reversal of 4760607879552 is 2559787060674.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4760607879551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9464428933 + ... + 9464429435.

It is an arithmetic number, because the mean of its divisors is an integer number (29092108500).

Almost surely, 2^{4760607879552} is an apocalyptic number.

4760607879552 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 4760607879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447579776000).

4760607879552 is an abundant number, since it is smaller than the sum of its proper divisors (10134551672448).

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

4760607879552 is a wasteful number, since it uses less digits than its factorization.

4760607879552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 66.

The spelling of 4760607879552 in words is "four trillion, seven hundred sixty billion, six hundred seven million, eight hundred seventy-nine thousand, five hundred fifty-two".