6754256000 has 64 divisors (see below), whose sum is σ = 16792808760. Its totient is φ = 2701696000.

The previous prime is 6754255999. The next prime is 6754256063. The reversal of 6754256000 is 6524576.

It can be written as a sum of positive squares in 4 ways, for example, as 1373740096 + 5380515904 = 37064^2 + 73352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6754256000² = 91239948227072000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195071 + ... + 227070.

Almost surely, 2^6754256000 is an apocalyptic number.

It is an amenable number.

6754256000 is an abundant number, since it is smaller than the sum of its proper divisors (10038552760).

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

6754256000 is an equidigital number, since it uses as much as digits as its factorization.

6754256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422170 (or 422148 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 6754256000 is about 82184.2807354302. The cubic root of 6754256000 is about 1890.2786931674.

The spelling of 6754256000 in words is "six billion, seven hundred fifty-four million, two hundred fifty-six thousand".