4829690880 has 1056 divisors, whose sum is σ = 21506273280. Its totient is φ = 1021870080.

The previous prime is 4829690867. The next prime is 4829690881. The reversal of 4829690880 is 880969284.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4829690881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155796465 + ... + 155796495.

Almost surely, 2^4829690880 is an apocalyptic number.

4829690880 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 4829690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10753136640).

4829690880 is an abundant number, since it is smaller than the sum of its proper divisors (16676582400).

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

4829690880 is a wasteful number, since it uses less digits than its factorization.

4829690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 4829690880 is about 69495.9774375467. The cubic root of 4829690880 is about 1690.3362751819.

The spelling of 4829690880 in words is "four billion, eight hundred twenty-nine million, six hundred ninety thousand, eight hundred eighty".