4866637568000 has 576 divisors, whose sum is σ = 13240086219360. Its totient is φ = 1784659968000.

The previous prime is 4866637567999. The next prime is 4866637568003. The reversal of 4866637568000 is 8657366684.

It is a super-2 number, since 2×4866637568000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4866637568003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8523007715 + ... + 8523008285.

Almost surely, 2^{4866637568000} is an apocalyptic number.

4866637568000 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 4866637568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6620043109680).

4866637568000 is an abundant number, since it is smaller than the sum of its proper divisors (8373448651360).

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

4866637568000 is a wasteful number, since it uses less digits than its factorization.

4866637568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 59.

The spelling of 4866637568000 in words is "four trillion, eight hundred sixty-six billion, six hundred thirty-seven million, five hundred sixty-eight thousand".