4648026240 has 1152 divisors, whose sum is σ = 20739700800. Its totient is φ = 985374720.

The previous prime is 4648026239. The next prime is 4648026293. The reversal of 4648026240 is 426208464.

It is a happy number.

4648026240 is a `hidden beast` number, since 4 + 648 + 0 + 2 + 6 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4648026195 and 4648026204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 244632951 + ... + 244632969.

Almost surely, 2^4648026240 is an apocalyptic number.

4648026240 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 4648026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10369850400).

4648026240 is an abundant number, since it is smaller than the sum of its proper divisors (16091674560).

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

4648026240 is a wasteful number, since it uses less digits than its factorization.

4648026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4648026240 is about 68176.4346383705. The cubic root of 4648026240 is about 1668.8713422685.

The spelling of 4648026240 in words is "four billion, six hundred forty-eight million, twenty-six thousand, two hundred forty".