4628980800 has 252 divisors, whose sum is σ = 16510785876. Its totient is φ = 1230028800.

The previous prime is 4628980789. The next prime is 4628980801. The reversal of 4628980800 is 80898264.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1302921216 + 3326059584 = 36096^2 + 57672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4628980801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7502092 + ... + 7502708.

Almost surely, 2^4628980800 is an apocalyptic number.

4628980800 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 4628980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255392938).

4628980800 is an abundant number, since it is smaller than the sum of its proper divisors (11881805076).

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

4628980800 is a wasteful number, since it uses less digits than its factorization.

4628980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4628980800 is about 68036.6136723456. The cubic root of 4628980800 is about 1666.5888034736.

The spelling of 4628980800 in words is "four billion, six hundred twenty-eight million, nine hundred eighty thousand, eight hundred".