4197806464 has 64 divisors (see below), whose sum is σ = 8875040400. Its totient is φ = 1970913280.

The previous prime is 4197806461. The next prime is 4197806479. The reversal of 4197806464 is 4646087914.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4197806461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1066452 + ... + 1070380.

Almost surely, 2^4197806464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4197806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437520200).

4197806464 is an abundant number, since it is smaller than the sum of its proper divisors (4677233936).

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

4197806464 is a wasteful number, since it uses less digits than its factorization.

4197806464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The square root of 4197806464 is about 64790.4812761875. The cubic root of 4197806464 is about 1613.1477150625.

The spelling of 4197806464 in words is "four billion, one hundred ninety-seven million, eight hundred six thousand, four hundred sixty-four".