4967874560 has 240 divisors, whose sum is σ = 13447576800. Its totient is φ = 1745879040.

The previous prime is 4967874553. The next prime is 4967874607. The reversal of 4967874560 is 654787694.

It is a junction number, because it is equal to n+sod(n) for n = 4967874496 and 4967874505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33341366 + ... + 33341514.

It is an arithmetic number, because the mean of its divisors is an integer number (56031570).

Almost surely, 2^4967874560 is an apocalyptic number.

4967874560 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 4967874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723788400).

4967874560 is an abundant number, since it is smaller than the sum of its proper divisors (8479702240).

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

4967874560 is a wasteful number, since it uses less digits than its factorization.

4967874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The square root of 4967874560 is about 70483.1508943804. The cubic root of 4967874560 is about 1706.3058264908.

The spelling of 4967874560 in words is "four billion, nine hundred sixty-seven million, eight hundred seventy-four thousand, five hundred sixty".