4671405648 has 320 divisors, whose sum is σ = 16598937600. Its totient is φ = 1224875520.

The previous prime is 4671405631. The next prime is 4671405671. The reversal of 4671405648 is 8465041764.

4671405648 is a `hidden beast` number, since 46 + 7 + 1 + 40 + 564 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13012093 + ... + 13012451.

It is an arithmetic number, because the mean of its divisors is an integer number (51871680).

Almost surely, 2^4671405648 is an apocalyptic number.

4671405648 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 4671405648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299468800).

4671405648 is an abundant number, since it is smaller than the sum of its proper divisors (11927531952).

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

4671405648 is a wasteful number, since it uses less digits than its factorization.

4671405648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4671405648 is about 68347.6820967617. The cubic root of 4671405648 is about 1671.6647851749.

The spelling of 4671405648 in words is "four billion, six hundred seventy-one million, four hundred five thousand, six hundred forty-eight".