4614327648 has 360 divisors, whose sum is σ = 16142952672. Its totient is φ = 1288659456.

The previous prime is 4614327623. The next prime is 4614327661. The reversal of 4614327648 is 8467234164.

4614327648 is a `hidden beast` number, since 4 + 614 + 3 + 27 + 6 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 5968990 + ... + 5969762.

Almost surely, 2^4614327648 is an apocalyptic number.

4614327648 is a gapful number since it is divisible by the number (48) 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 4614327648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8071476336).

4614327648 is an abundant number, since it is smaller than the sum of its proper divisors (11528625024).

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

4614327648 is a wasteful number, since it uses less digits than its factorization.

4614327648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 832 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4614327648 is about 67928.8425339340. The cubic root of 4614327648 is about 1664.8284020865.

The spelling of 4614327648 in words is "four billion, six hundred fourteen million, three hundred twenty-seven thousand, six hundred forty-eight".