4297385664 has 840 divisors, whose sum is σ = 16481291904. Its totient is φ = 1094860800.

The previous prime is 4297385663. The next prime is 4297385669. The reversal of 4297385664 is 4665837924.

4297385664 is a `hidden beast` number, since 4 + 2 + 9 + 73 + 8 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4297385664.

It is not an unprimeable number, because it can be changed into a prime (4297385663) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 138625329 + ... + 138625359.

Almost surely, 2^4297385664 is an apocalyptic number.

4297385664 is a gapful number since it is divisible by the number (44) 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 4297385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240645952).

4297385664 is an abundant number, since it is smaller than the sum of its proper divisors (12183906240).

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

4297385664 is a wasteful number, since it uses less digits than its factorization.

4297385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 4297385664 is about 65554.4480870673. The cubic root of 4297385664 is about 1625.8037099142.

The spelling of 4297385664 in words is "four billion, two hundred ninety-seven million, three hundred eighty-five thousand, six hundred sixty-four".