4660075740100 has 216 divisors, whose sum is σ = 11929865814720. Its totient is φ = 1564997280000.

The previous prime is 4660075740059. The next prime is 4660075740121. The reversal of 4660075740100 is 10475700664.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16737025 + ... + 17013175.

Almost surely, 2^{4660075740100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4660075740100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964932907360).

4660075740100 is an abundant number, since it is smaller than the sum of its proper divisors (7269790074620).

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

4660075740100 is a wasteful number, since it uses less digits than its factorization.

4660075740100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276251 (or 276221 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 4660075740100 in words is "four trillion, six hundred sixty billion, seventy-five million, seven hundred forty thousand, one hundred".