4649745600 has 336 divisors, whose sum is σ = 17414138400. Its totient is φ = 1206005760.

The previous prime is 4649745587. The next prime is 4649745601. The reversal of 4649745600 is 65479464.

4649745600 is a `hidden beast` number, since 46 + 49 + 7 + 4 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4649745601) 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, 1596946 + ... + 1599854.

Almost surely, 2^4649745600 is an apocalyptic number.

4649745600 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 4649745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8707069200).

4649745600 is an abundant number, since it is smaller than the sum of its proper divisors (12764392800).

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

4649745600 is a wasteful number, since it uses less digits than its factorization.

4649745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4649745600 is about 68189.0431081123. The cubic root of 4649745600 is about 1669.0770953307.

The spelling of 4649745600 in words is "four billion, six hundred forty-nine million, seven hundred forty-five thousand, six hundred".