4649782582368 has 1152 divisors, whose sum is σ = 18133084569600. Its totient is φ = 1093666406400.

The previous prime is 4649782582327. The next prime is 4649782582409. The reversal of 4649782582368 is 8632852879464.

4649782582368 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 7 + 8 + 2 + 582 + 36 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4649782582327) and next prime (4649782582409).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4649782582296 and 4649782582305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1084115968 + ... + 1084120256.

It is an arithmetic number, because the mean of its divisors is an integer number (15740524800).

Almost surely, 2^{4649782582368} is an apocalyptic number.

4649782582368 is a gapful number since it is divisible by the number (48) 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 4649782582368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9066542284800).

4649782582368 is an abundant number, since it is smaller than the sum of its proper divisors (13483301987232).

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

4649782582368 is a wasteful number, since it uses less digits than its factorization.

4649782582368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4445 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 4649782582368 in words is "four trillion, six hundred forty-nine billion, seven hundred eighty-two million, five hundred eighty-two thousand, three hundred sixty-eight".