6104652400 has 480 divisors, whose sum is σ = 19728023040. Its totient is φ = 1757184000.

The previous prime is 6104652397. The next prime is 6104652419. The reversal of 6104652400 is 42564016.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46600335 + ... + 46600465.

It is an arithmetic number, because the mean of its divisors is an integer number (41100048).

Almost surely, 2^6104652400 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 6104652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864011520).

6104652400 is an abundant number, since it is smaller than the sum of its proper divisors (13623370640).

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

6104652400 is a wasteful number, since it uses less digits than its factorization.

6104652400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 6104652400 is about 78132.2750212740. The cubic root of 6104652400 is about 1827.6245368423.

The spelling of 6104652400 in words is "six billion, one hundred four million, six hundred fifty-two thousand, four hundred".