6743121600 has 336 divisors, whose sum is σ = 23348362752. Its totient is φ = 1700413440.

The previous prime is 6743121599. The next prime is 6743121601. The reversal of 6743121600 is 61213476.

It is an interprime number because it is at equal distance from previous prime (6743121599) and next prime (6743121601).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6743121601) 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, 11370904 + ... + 11371496.

Almost surely, 2^6743121600 is an apocalyptic number.

6743121600 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 6743121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11674181376).

6743121600 is an abundant number, since it is smaller than the sum of its proper divisors (16605241152).

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

6743121600 is a wasteful number, since it uses less digits than its factorization.

6743121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 729 counting only the distinct ones).

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

The square root of 6743121600 is about 82116.5123467869. The cubic root of 6743121600 is about 1889.2394128931.

The spelling of 6743121600 in words is "six billion, seven hundred forty-three million, one hundred twenty-one thousand, six hundred".