6747121920 has 576 divisors, whose sum is σ = 28303349760. Its totient is φ = 1327104000.

The previous prime is 6747121919. The next prime is 6747121949. The reversal of 6747121920 is 291217476.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5617320 + ... + 5618520.

It is an arithmetic number, because the mean of its divisors is an integer number (49137760).

Almost surely, 2^6747121920 is an apocalyptic number.

6747121920 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 6747121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151674880).

6747121920 is an abundant number, since it is smaller than the sum of its proper divisors (21556227840).

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

6747121920 is a wasteful number, since it uses less digits than its factorization.

6747121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 6747121920 is about 82140.8663212167. The cubic root of 6747121920 is about 1889.6129326887.

The spelling of 6747121920 in words is "six billion, seven hundred forty-seven million, one hundred twenty-one thousand, nine hundred twenty".