4748600724480 has 1056 divisors, whose sum is σ = 17675026200000. Its totient is φ = 1175325769728.

The previous prime is 4748600724463. The next prime is 4748600724503. The reversal of 4748600724480 is 844270068474.

4748600724480 is a `hidden beast` number, since 4 + 7 + 4 + 8 + 600 + 7 + 24 + 4 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11610270516 + ... + 11610270924.

Almost surely, 2^{4748600724480} is an apocalyptic number.

4748600724480 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 4748600724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8837513100000).

4748600724480 is an abundant number, since it is smaller than the sum of its proper divisors (12926425475520).

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

4748600724480 is a wasteful number, since it uses less digits than its factorization.

4748600724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 4748600724480 in words is "four trillion, seven hundred forty-eight billion, six hundred million, seven hundred twenty-four thousand, four hundred eighty".