6004620400 has 120 divisors (see below), whose sum is σ = 14885490224. Its totient is φ = 2326579200.

The previous prime is 6004620379. The next prime is 6004620403. The reversal of 6004620400 is 40264006.

It is a super-2 number, since 2×6004620400² = 72110932296192320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004620403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1632964 + ... + 1636636.

Almost surely, 2^6004620400 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 6004620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442745112).

6004620400 is an abundant number, since it is smaller than the sum of its proper divisors (8880869824).

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

6004620400 is a wasteful number, since it uses less digits than its factorization.

6004620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 6004620400 is about 77489.4857383891. The cubic root of 6004620400 is about 1817.5869078207.

Adding to 6004620400 its reverse (40264006), we get a palindrome (6044884406).

The spelling of 6004620400 in words is "six billion, four million, six hundred twenty thousand, four hundred".