4874357698560 has 1248 divisors, whose sum is σ = 19689752788992. Its totient is φ = 1092472012800.

The previous prime is 4874357698543. The next prime is 4874357698607. The reversal of 4874357698560 is 658967534784.

4874357698560 is a `hidden beast` number, since 4 + 8 + 7 + 4 + 3 + 57 + 6 + 9 + 8 + 560 = 666.

It is a super-2 number, since 2×4874357698560² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 24742932382 + ... + 24742932578.

It is an arithmetic number, because the mean of its divisors is an integer number (15777045504).

Almost surely, 2^{4874357698560} is an apocalyptic number.

4874357698560 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 4874357698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9844876394496).

4874357698560 is an abundant number, since it is smaller than the sum of its proper divisors (14815395090432).

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

4874357698560 is a wasteful number, since it uses less digits than its factorization.

4874357698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 4874357698560 in words is "four trillion, eight hundred seventy-four billion, three hundred fifty-seven million, six hundred ninety-eight thousand, five hundred sixty".