4497628800 has 768 divisors, whose sum is σ = 18650234880. Its totient is φ = 928972800.

The previous prime is 4497628799. The next prime is 4497628801. The reversal of 4497628800 is 88267944.

It is an interprime number because it is at equal distance from previous prime (4497628799) and next prime (4497628801).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4497628800.

It is not an unprimeable number, because it can be changed into a prime (4497628801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35414337 + ... + 35414463.

It is an arithmetic number, because the mean of its divisors is an integer number (24284160).

Almost surely, 2^4497628800 is an apocalyptic number.

4497628800 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 4497628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9325117440).

4497628800 is an abundant number, since it is smaller than the sum of its proper divisors (14152606080).

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

4497628800 is a wasteful number, since it uses less digits than its factorization.

4497628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 4497628800 is about 67064.3631148466. The cubic root of 4497628800 is about 1650.6735909100.

The spelling of 4497628800 in words is "four billion, four hundred ninety-seven million, six hundred twenty-eight thousand, eight hundred".