4968293616 has 480 divisors, whose sum is σ = 17349556224. Its totient is φ = 1306368000.

The previous prime is 4968293611. The next prime is 4968293621. The reversal of 4968293616 is 6163928694.

4968293616 is a `hidden beast` number, since 496 + 8 + 2 + 93 + 61 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4968293611) and next prime (4968293621).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4968293611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27449046 + ... + 27449226.

Almost surely, 2^4968293616 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 4968293616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8674778112).

4968293616 is an abundant number, since it is smaller than the sum of its proper divisors (12381262608).

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

4968293616 is a wasteful number, since it uses less digits than its factorization.

4968293616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 4968293616 is about 70486.1235705298. The cubic root of 4968293616 is about 1706.3538025807.

The spelling of 4968293616 in words is "four billion, nine hundred sixty-eight million, two hundred ninety-three thousand, six hundred sixteen".