4648775040 has 768 divisors, whose sum is σ = 20271888000. Its totient is φ = 975421440.

The previous prime is 4648775039. The next prime is 4648775057. The reversal of 4648775040 is 405778464.

4648775040 is a `hidden beast` number, since 4 + 64 + 87 + 7 + 504 + 0 = 666.

It is a super-2 number, since 2×4648775040² = 43222218745054003200, which contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 25683750 + ... + 25683930.

Almost surely, 2^4648775040 is an apocalyptic number.

4648775040 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 4648775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10135944000).

4648775040 is an abundant number, since it is smaller than the sum of its proper divisors (15623112960).

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

4648775040 is a wasteful number, since it uses less digits than its factorization.

4648775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4648775040 is about 68181.9260508238. The cubic root of 4648775040 is about 1668.9609562032.

The spelling of 4648775040 in words is "four billion, six hundred forty-eight million, seven hundred seventy-five thousand, forty".