4620788100 has 144 divisors (see below), whose sum is σ = 14878631040. Its totient is φ = 1230249600.

The previous prime is 4620788099. The next prime is 4620788101. The reversal of 4620788100 is 18870264.

It is an interprime number because it is at equal distance from previous prime (4620788099) and next prime (4620788101).

It is a super-2 number, since 2×4620788100² = 42703365330203220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4620788101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2653230 + ... + 2654970.

Almost surely, 2^4620788100 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 4620788100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439315520).

4620788100 is an abundant number, since it is smaller than the sum of its proper divisors (10257842940).

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

4620788100 is a wasteful number, since it uses less digits than its factorization.

4620788100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4620788100 is about 67976.3789856447. The cubic root of 4620788100 is about 1665.6050069819.

The spelling of 4620788100 in words is "four billion, six hundred twenty million, seven hundred eighty-eight thousand, one hundred".