4197648000 has 768 divisors, whose sum is σ = 17696689920. Its totient is φ = 857088000.

The previous prime is 4197647999. The next prime is 4197648001. The reversal of 4197648000 is 8467914.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4197647999) and next prime (4197648001).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4197648000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4197648001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135407985 + ... + 135408015.

It is an arithmetic number, because the mean of its divisors is an integer number (23042565).

Almost surely, 2^4197648000 is an apocalyptic number.

4197648000 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 4197648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848344960).

4197648000 is an abundant number, since it is smaller than the sum of its proper divisors (13499041920).

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

4197648000 is a wasteful number, since it uses less digits than its factorization.

4197648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 4197648000 is about 64789.2583689611. The cubic root of 4197648000 is about 1613.1274164408.

The spelling of 4197648000 in words is "four billion, one hundred ninety-seven million, six hundred forty-eight thousand".