4640163948 has 192 divisors, whose sum is σ = 14313062400. Its totient is φ = 1272075840.

The previous prime is 4640163947. The next prime is 4640164007. The reversal of 4640163948 is 8493610464.

4640163948 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 1 + 639 + 4 + 8 = 666.

It is a super-2 number, since 2×4640163948² = 43062242928637893408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4640163943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2975593 + ... + 2977151.

It is an arithmetic number, because the mean of its divisors is an integer number (74547200).

Almost surely, 2^4640163948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4640163948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156531200).

4640163948 is an abundant number, since it is smaller than the sum of its proper divisors (9672898452).

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

4640163948 is a wasteful number, since it uses less digits than its factorization.

4640163948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4640163948 is about 68118.7488728324. The cubic root of 4640163948 is about 1667.9298272844.

The spelling of 4640163948 in words is "four billion, six hundred forty million, one hundred sixty-three thousand, nine hundred forty-eight".