4625834880 has 128 divisors (see below), whose sum is σ = 15220684800. Its totient is φ = 1193748480.

The previous prime is 4625834839. The next prime is 4625834903. The reversal of 4625834880 is 884385264.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4625834880² = 42796696674049228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20661 + ... + 98379.

It is an arithmetic number, because the mean of its divisors is an integer number (118911600).

Almost surely, 2^4625834880 is an apocalyptic number.

4625834880 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 4625834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610342400).

4625834880 is an abundant number, since it is smaller than the sum of its proper divisors (10594849920).

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

4625834880 is a wasteful number, since it uses less digits than its factorization.

4625834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77772 (or 77760 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 4625834880 is about 68013.4904265323. The cubic root of 4625834880 is about 1666.2111722373.

The spelling of 4625834880 in words is "four billion, six hundred twenty-five million, eight hundred thirty-four thousand, eight hundred eighty".