4955079168 has 240 divisors, whose sum is σ = 15519720216. Its totient is φ = 1512898560.

The previous prime is 4955079133. The next prime is 4955079197. The reversal of 4955079168 is 8619705594.

4955079168 is a `hidden beast` number, since 4 + 9 + 550 + 79 + 16 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2782773504 + 2172305664 = 52752^2 + 46608^2 .

It is a super-2 number, since 2×4955079168² = 49105619122295144448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10842396 + ... + 10842852.

Almost surely, 2^4955079168 is an apocalyptic number.

4955079168 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 4955079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759860108).

4955079168 is an abundant number, since it is smaller than the sum of its proper divisors (10564641048).

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

4955079168 is a wasteful number, since it uses less digits than its factorization.

4955079168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 4955079168 is about 70392.3232178055. The cubic root of 4955079168 is about 1704.8396311757.

The spelling of 4955079168 in words is "four billion, nine hundred fifty-five million, seventy-nine thousand, one hundred sixty-eight".