6743076480 has 384 divisors, whose sum is σ = 27266803200. Its totient is φ = 1503313920.

The previous prime is 6743076479. The next prime is 6743076493. The reversal of 6743076480 is 846703476.

6743076480 is a `hidden beast` number, since 6 + 74 + 30 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1651081 + ... + 1655159.

It is an arithmetic number, because the mean of its divisors is an integer number (71007300).

Almost surely, 2^6743076480 is an apocalyptic number.

6743076480 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 6743076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13633401600).

6743076480 is an abundant number, since it is smaller than the sum of its proper divisors (20523726720).

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

6743076480 is a wasteful number, since it uses less digits than its factorization.

6743076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 6743076480 is about 82116.2376147373. The cubic root of 6743076480 is about 1889.2351990844.

The spelling of 6743076480 in words is "six billion, seven hundred forty-three million, seventy-six thousand, four hundred eighty".