4968180000 has 360 divisors, whose sum is σ = 20181889728. Its totient is φ = 1135296000.

The previous prime is 4968179989. The next prime is 4968180031. The reversal of 4968180000 is 818694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1258029 + ... + 1261971.

Almost surely, 2^4968180000 is an apocalyptic number.

4968180000 is a gapful number since it is divisible by the number (40) 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 4968180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090944864).

4968180000 is an abundant number, since it is smaller than the sum of its proper divisors (15213709728).

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

4968180000 is a wasteful number, since it uses less digits than its factorization.

4968180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4968180000 is about 70485.3176200547. The cubic root of 4968180000 is about 1706.3407953938.

Adding to 4968180000 its reverse (818694), we get a palindrome (4968998694).

The spelling of 4968180000 in words is "four billion, nine hundred sixty-eight million, one hundred eighty thousand".