4364288640 has 512 divisors, whose sum is σ = 16450560000. Its totient is φ = 1091211264.

The previous prime is 4364288633. The next prime is 4364288647. The reversal of 4364288640 is 468824634.

4364288640 is a `hidden beast` number, since 4 + 364 + 288 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4364288633) and next prime (4364288647).

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

It is not an unprimeable number, because it can be changed into a prime (4364288647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31397691 + ... + 31397829.

It is an arithmetic number, because the mean of its divisors is an integer number (32130000).

Almost surely, 2^4364288640 is an apocalyptic number.

4364288640 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 4364288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280000).

4364288640 is an abundant number, since it is smaller than the sum of its proper divisors (12086271360).

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

4364288640 is a wasteful number, since it uses less digits than its factorization.

4364288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 4364288640 is about 66062.7628850020. The cubic root of 4364288640 is about 1634.1972997771.

The spelling of 4364288640 in words is "four billion, three hundred sixty-four million, two hundred eighty-eight thousand, six hundred forty".