4806782640 has 480 divisors, whose sum is σ = 19638028800. Its totient is φ = 1038458880.

The previous prime is 4806782611. The next prime is 4806782653. The reversal of 4806782640 is 462876084.

It is a super-3 number, since 3×4806782640³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2557221 + ... + 2559099.

It is an arithmetic number, because the mean of its divisors is an integer number (40912560).

Almost surely, 2^4806782640 is an apocalyptic number.

4806782640 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 4806782640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9819014400).

4806782640 is an abundant number, since it is smaller than the sum of its proper divisors (14831246160).

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

4806782640 is a wasteful number, since it uses less digits than its factorization.

4806782640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4806782640 is about 69330.9645108158. The cubic root of 4806782640 is about 1687.6594983398.

The spelling of 4806782640 in words is "four billion, eight hundred six million, seven hundred eighty-two thousand, six hundred forty".