4642622400 has 336 divisors, whose sum is σ = 16762927104. Its totient is φ = 1117777920.

The previous prime is 4642622399. The next prime is 4642622401. The reversal of 4642622400 is 42262464.

It is an interprime number because it is at equal distance from previous prime (4642622399) and next prime (4642622401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642622401) 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, 2932009 + ... + 2933591.

It is an arithmetic number, because the mean of its divisors is an integer number (49889664).

Almost surely, 2^4642622400 is an apocalyptic number.

4642622400 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 4642622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8381463552).

4642622400 is an abundant number, since it is smaller than the sum of its proper divisors (12120304704).

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

4642622400 is a wasteful number, since it uses less digits than its factorization.

4642622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4642622400 is about 68136.7918235075. The cubic root of 4642622400 is about 1668.2243428445.

Adding to 4642622400 its reverse (42262464), we get a palindrome (4684884864).

The spelling of 4642622400 in words is "four billion, six hundred forty-two million, six hundred twenty-two thousand, four hundred".