4759292880 has 120 divisors (see below), whose sum is σ = 16105620960. Its totient is φ = 1259431680.

The previous prime is 4759292861. The next prime is 4759292893. The reversal of 4759292880 is 882929574.

4759292880 is a `hidden beast` number, since 47 + 592 + 9 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69091 + ... + 119549.

It is an arithmetic number, because the mean of its divisors is an integer number (134213508).

Almost surely, 2^4759292880 is an apocalyptic number.

4759292880 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 4759292880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8052810480).

4759292880 is an abundant number, since it is smaller than the sum of its proper divisors (11346328080).

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

4759292880 is a wasteful number, since it uses less digits than its factorization.

4759292880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50609 (or 50600 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4759292880 is about 68987.6284561225. The cubic root of 4759292880 is about 1682.0832150467.

The spelling of 4759292880 in words is "four billion, seven hundred fifty-nine million, two hundred ninety-two thousand, eight hundred eighty".