6741600600 has 192 divisors, whose sum is σ = 24068816640. Its totient is φ = 1529049600.

The previous prime is 6741600581. The next prime is 6741600601. The reversal of 6741600600 is 60061476.

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 (6741600601) 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, 544074 + ... + 556326.

It is an arithmetic number, because the mean of its divisors is an integer number (125358420).

Almost surely, 2^6741600600 is an apocalyptic number.

6741600600 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 6741600600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12034408320).

6741600600 is an abundant number, since it is smaller than the sum of its proper divisors (17327216040).

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

6741600600 is a wasteful number, since it uses less digits than its factorization.

6741600600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12410 (or 12401 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6741600600 is about 82107.2505933550. The cubic root of 6741600600 is about 1889.0973545904.

It can be divided in two parts, 6741600 and 600, that multiplied together give a square (4044960000 = 63600²).

The spelling of 6741600600 in words is "six billion, seven hundred forty-one million, six hundred thousand, six hundred".