4605755752000 has 224 divisors, whose sum is σ = 12303955722240. Its totient is φ = 1697761843200.

The previous prime is 4605755751973. The next prime is 4605755752007. The reversal of 4605755752000 is 2575575064.

It is not an unprimeable number, because it can be changed into a prime (4605755752007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63091521 + ... + 63164479.

It is an arithmetic number, because the mean of its divisors is an integer number (54928373760).

Almost surely, 2^{4605755752000} is an apocalyptic number.

4605755752000 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 4605755752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6151977861120).

4605755752000 is an abundant number, since it is smaller than the sum of its proper divisors (7698199970240).

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

4605755752000 is a wasteful number, since it uses less digits than its factorization.

4605755752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73606 (or 73586 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 46.

The spelling of 4605755752000 in words is "four trillion, six hundred five billion, seven hundred fifty-five million, seven hundred fifty-two thousand".