4968162864 has 600 divisors, whose sum is σ = 18247144608. Its totient is φ = 1276508160.

The previous prime is 4968162847. The next prime is 4968162877. The reversal of 4968162864 is 4682618694.

4968162864 is a `hidden beast` number, since 4 + 9 + 6 + 8 + 1 + 628 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4968162864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 121174684 + ... + 121174724.

Almost surely, 2^4968162864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4968162864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123572304).

4968162864 is an abundant number, since it is smaller than the sum of its proper divisors (13278981744).

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

4968162864 is a wasteful number, since it uses less digits than its factorization.

4968162864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 109 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 4968162864 is about 70485.1960627194. The cubic root of 4968162864 is about 1706.3388335829.

The spelling of 4968162864 in words is "four billion, nine hundred sixty-eight million, one hundred sixty-two thousand, eight hundred sixty-four".