4678596746460 has 960 divisors, whose sum is σ = 18485821347840. Its totient is φ = 964291184640.

The previous prime is 4678596746443. The next prime is 4678596746477. The reversal of 4678596746460 is 646476958764.

4678596746460 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 5 + 96 + 74 + 6 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (4678596746443) and next prime (4678596746477).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1452527650 + ... + 1452530870.

It is an arithmetic number, because the mean of its divisors is an integer number (19256063904).

Almost surely, 2^{4678596746460} 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 4678596746460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9242910673920).

4678596746460 is an abundant number, since it is smaller than the sum of its proper divisors (13807224601380).

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

4678596746460 is a wasteful number, since it uses less digits than its factorization.

4678596746460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 4678596746460 in words is "four trillion, six hundred seventy-eight billion, five hundred ninety-six million, seven hundred forty-six thousand, four hundred sixty".