4197743616 has 264 divisors, whose sum is σ = 12858959232. Its totient is φ = 1214259200.

The previous prime is 4197743603. The next prime is 4197743617. The reversal of 4197743616 is 6163477914.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4197743617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8549131 + ... + 8549621.

Almost surely, 2^4197743616 is an apocalyptic number.

4197743616 is a gapful number since it is divisible by the number (46) 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 4197743616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429479616).

4197743616 is an abundant number, since it is smaller than the sum of its proper divisors (8661215616).

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

4197743616 is a wasteful number, since it uses less digits than its factorization.

4197743616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 530 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 4197743616 is about 64789.9962648556. The cubic root of 4197743616 is about 1613.1396645394.

The spelling of 4197743616 in words is "four billion, one hundred ninety-seven million, seven hundred forty-three thousand, six hundred sixteen".