604432742400 has 1728 divisors, whose sum is σ = 2509489382400. Its totient is φ = 138018816000.

The previous prime is 604432742393. The next prime is 604432742401. The reversal of 604432742400 is 4247234406.

604432742400 is a `hidden beast` number, since 604 + 4 + 3 + 2 + 7 + 4 + 2 + 40 + 0 = 666.

604432742400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (604432742401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4613990335 + ... + 4613990465.

It is an arithmetic number, because the mean of its divisors is an integer number (1452250800).

Almost surely, 2^604432742400 is an apocalyptic number.

604432742400 is a gapful number since it is divisible by the number (60) 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 604432742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254744691200).

604432742400 is an abundant number, since it is smaller than the sum of its proper divisors (1905056640000).

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

604432742400 is a wasteful number, since it uses less digits than its factorization.

604432742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 604432742400 its reverse (4247234406), we get a palindrome (608679976806).

The spelling of 604432742400 in words is "six hundred four billion, four hundred thirty-two million, seven hundred forty-two thousand, four hundred".