4297328640 has 576 divisors, whose sum is σ = 16956838080. Its totient is φ = 1035141120.

The previous prime is 4297328617. The next prime is 4297328657. The reversal of 4297328640 is 468237924.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27371442 + ... + 27371598.

It is an arithmetic number, because the mean of its divisors is an integer number (29438955).

Almost surely, 2^4297328640 is an apocalyptic number.

4297328640 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 4297328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8478419040).

4297328640 is an abundant number, since it is smaller than the sum of its proper divisors (12659509440).

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

4297328640 is a wasteful number, since it uses less digits than its factorization.

4297328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4297328640 is about 65554.0131494632. The cubic root of 4297328640 is about 1625.7965187017.

The spelling of 4297328640 in words is "four billion, two hundred ninety-seven million, three hundred twenty-eight thousand, six hundred forty".