4610930688 has 288 divisors, whose sum is σ = 16396380000. Its totient is φ = 1215627264.

The previous prime is 4610930677. The next prime is 4610930693. The reversal of 4610930688 is 8860390164.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 1675938 + ... + 1678686.

It is an arithmetic number, because the mean of its divisors is an integer number (56931875).

Almost surely, 2^4610930688 is an apocalyptic number.

4610930688 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 4610930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198190000).

4610930688 is an abundant number, since it is smaller than the sum of its proper divisors (11785449312).

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

4610930688 is a wasteful number, since it uses less digits than its factorization.

4610930688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4610930688 is about 67903.8341185533. The cubic root of 4610930688 is about 1664.4197658945.

The spelling of 4610930688 in words is "four billion, six hundred ten million, nine hundred thirty thousand, six hundred eighty-eight".