4967682048 has 624 divisors, whose sum is σ = 18318483456. Its totient is φ = 1313832960.

The previous prime is 4967682043. The next prime is 4967682067. The reversal of 4967682048 is 8402867694.

4967682048 is a `hidden beast` number, since 496 + 76 + 82 + 0 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4967681985 and 4967682003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967682043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160247793 + ... + 160247823.

It is an arithmetic number, because the mean of its divisors is an integer number (29356544).

Almost surely, 2^4967682048 is an apocalyptic number.

4967682048 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 4967682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9159241728).

4967682048 is an abundant number, since it is smaller than the sum of its proper divisors (13350801408).

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

4967682048 is an equidigital number, since it uses as much as digits as its factorization.

4967682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 4967682048 is about 70481.7852214315. The cubic root of 4967682048 is about 1706.2837856370.

The spelling of 4967682048 in words is "four billion, nine hundred sixty-seven million, six hundred eighty-two thousand, forty-eight".