4720968000 has 1344 divisors, whose sum is σ = 22252838400. Its totient is φ = 928972800.

The previous prime is 4720967989. The next prime is 4720968011. The reversal of 4720968000 is 8690274.

It is an interprime number because it is at equal distance from previous prime (4720967989) and next prime (4720968011).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162791986 + ... + 162792014.

Almost surely, 2^4720968000 is an apocalyptic number.

4720968000 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 4720968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11126419200).

4720968000 is an abundant number, since it is smaller than the sum of its proper divisors (17531870400).

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

4720968000 is a wasteful number, since it uses less digits than its factorization.

4720968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4720968000 is about 68709.3006804756. The cubic root of 4720968000 is about 1677.5559700083. Note that the first 3 decimals are identical.

The spelling of 4720968000 in words is "four billion, seven hundred twenty million, nine hundred sixty-eight thousand".