4306688640 has 384 divisors, whose sum is σ = 15581030400. Its totient is φ = 1094860800.

The previous prime is 4306688629. The next prime is 4306688641. The reversal of 4306688640 is 468866034.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4306688641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15891705 + ... + 15891975.

It is an arithmetic number, because the mean of its divisors is an integer number (40575600).

Almost surely, 2^4306688640 is an apocalyptic number.

4306688640 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 4306688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790515200).

4306688640 is an abundant number, since it is smaller than the sum of its proper divisors (11274341760).

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

4306688640 is a wasteful number, since it uses less digits than its factorization.

4306688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4306688640 is about 65625.3658275518. The cubic root of 4306688640 is about 1626.9760437564.

The spelling of 4306688640 in words is "four billion, three hundred six million, six hundred eighty-eight thousand, six hundred forty".