4678352640 has 648 divisors, whose sum is σ = 18380915280. Its totient is φ = 1138655232.

The previous prime is 4678352639. The next prime is 4678352659. The reversal of 4678352640 is 462538764.

4678352640 is a `hidden beast` number, since 4 + 6 + 7 + 83 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52565716 + ... + 52565804.

It is an arithmetic number, because the mean of its divisors is an integer number (28365610).

Almost surely, 2^4678352640 is an apocalyptic number.

4678352640 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 4678352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9190457640).

4678352640 is an abundant number, since it is smaller than the sum of its proper divisors (13702562640).

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

4678352640 is an equidigital number, since it uses as much as digits as its factorization.

4678352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4678352640 is about 68398.4841937305. The cubic root of 4678352640 is about 1672.4930362275.

The spelling of 4678352640 in words is "four billion, six hundred seventy-eight million, three hundred fifty-two thousand, six hundred forty".