4796820000 has 840 divisors, whose sum is σ = 20651089536. Its totient is φ = 1073088000.

The previous prime is 4796819981. The next prime is 4796820019. The reversal of 4796820000 is 286974.

It is an interprime number because it is at equal distance from previous prime (4796819981) and next prime (4796820019).

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×4796820000² = 46018964224800000000, which contains 22 as substring.

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 139 ways as a sum of consecutive naturals, for example, 102059977 + ... + 102060023.

Almost surely, 2^4796820000 is an apocalyptic number.

4796820000 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 4796820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10325544768).

4796820000 is an abundant number, since it is smaller than the sum of its proper divisors (15854269536).

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

4796820000 is an frugal number, since it uses more digits than its factorization.

4796820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

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

The square root of 4796820000 is about 69259.0788272556. The cubic root of 4796820000 is about 1686.4927322154.

The spelling of 4796820000 in words is "four billion, seven hundred ninety-six million, eight hundred twenty thousand".