2847480749568 has 2880 divisors, whose sum is σ = 11791025326080. Its totient is φ = 677221171200.

The previous prime is 2847480749497. The next prime is 2847480749611. The reversal of 2847480749568 is 8659470847482.

2847480749568 is a `hidden beast` number, since 2 + 8 + 4 + 74 + 8 + 0 + 7 + 495 + 68 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2847480749496 and 2847480749505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46680012258 + ... + 46680012318.

It is an arithmetic number, because the mean of its divisors is an integer number (4094106016).

Almost surely, 2^{2847480749568} is an apocalyptic number.

2847480749568 is a gapful number since it is divisible by the number (28) 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 2847480749568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895512663040).

2847480749568 is an abundant number, since it is smaller than the sum of its proper divisors (8943544576512).

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

2847480749568 is a wasteful number, since it uses less digits than its factorization.

2847480749568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 2847480749568 in words is "two trillion, eight hundred forty-seven billion, four hundred eighty million, seven hundred forty-nine thousand, five hundred sixty-eight".