4457649768000 has 448 divisors, whose sum is σ = 17292452486400. Its totient is φ = 997515264000.

The previous prime is 4457649767983. The next prime is 4457649768001. The reversal of 4457649768000 is 8679467544.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (4457649768001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2782576 + ... + 4081424.

It is an arithmetic number, because the mean of its divisors is an integer number (38599224300).

Almost surely, 2^{4457649768000} is an apocalyptic number.

4457649768000 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 4457649768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646226243200).

4457649768000 is an abundant number, since it is smaller than the sum of its proper divisors (12834802718400).

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

4457649768000 is a wasteful number, since it uses less digits than its factorization.

4457649768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298903 (or 1298883 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 4457649768000 in words is "four trillion, four hundred fifty-seven billion, six hundred forty-nine million, seven hundred sixty-eight thousand".