4607744974560 has 1152 divisors, whose sum is σ = 20030706017280. Its totient is φ = 963349770240.

The previous prime is 4607744974559. The next prime is 4607744974579. The reversal of 4607744974560 is 654794477064.

4607744974560 is a `hidden beast` number, since 4 + 6 + 0 + 77 + 449 + 74 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6746331979 + ... + 6746332661.

It is an arithmetic number, because the mean of its divisors is an integer number (17387765640).

Almost surely, 2^{4607744974560} is an apocalyptic number.

4607744974560 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 4607744974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10015353008640).

4607744974560 is an abundant number, since it is smaller than the sum of its proper divisors (15422961042720).

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

4607744974560 is a wasteful number, since it uses less digits than its factorization.

4607744974560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 4607744974560 in words is "four trillion, six hundred seven billion, seven hundred forty-four million, nine hundred seventy-four thousand, five hundred sixty".