4620718400 has 168 divisors, whose sum is σ = 11931944640. Its totient is φ = 1757859840.

The previous prime is 4620718391. The next prime is 4620718447. The reversal of 4620718400 is 48170264.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11297396 + ... + 11297804.

It is an arithmetic number, because the mean of its divisors is an integer number (71023480).

Almost surely, 2^4620718400 is an apocalyptic number.

4620718400 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 4620718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965972320).

4620718400 is an abundant number, since it is smaller than the sum of its proper divisors (7311226240).

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

4620718400 is a wasteful number, since it uses less digits than its factorization.

4620718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 4620718400 is about 67975.8663056235. The cubic root of 4620718400 is about 1665.5966322740.

Adding to 4620718400 its reverse (48170264), we get a palindrome (4668888664).

The spelling of 4620718400 in words is "four billion, six hundred twenty million, seven hundred eighteen thousand, four hundred".