6748185600 has 528 divisors, whose sum is σ = 26723011840. Its totient is φ = 1658880000.

The previous prime is 6748185589. The next prime is 6748185601. The reversal of 6748185600 is 65818476.

It is a happy number.

6748185600 is a `hidden beast` number, since 6 + 7 + 4 + 81 + 8 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6748185601) 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, 8985225 + ... + 8985975.

Almost surely, 2^6748185600 is an apocalyptic number.

6748185600 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 6748185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361505920).

6748185600 is an abundant number, since it is smaller than the sum of its proper divisors (19974826240).

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

6748185600 is a wasteful number, since it uses less digits than its factorization.

6748185600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6748185600 is about 82147.3407968876. The cubic root of 6748185600 is about 1889.7122262787.

The spelling of 6748185600 in words is "six billion, seven hundred forty-eight million, one hundred eighty-five thousand, six hundred".