6754151040 has 1024 divisors, whose sum is σ = 28952985600. Its totient is φ = 1300561920.

The previous prime is 6754151021. The next prime is 6754151059. The reversal of 6754151040 is 401514576.

It is an interprime number because it is at equal distance from previous prime (6754151021) and next prime (6754151059).

It is a super-2 number, since 2×6754151040² = 91237112542266163200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6754150992 and 6754151010.

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 127 ways as a sum of consecutive naturals, for example, 157073259 + ... + 157073301.

It is an arithmetic number, because the mean of its divisors is an integer number (28274400).

Almost surely, 2^6754151040 is an apocalyptic number.

6754151040 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 6754151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476492800).

6754151040 is an abundant number, since it is smaller than the sum of its proper divisors (22198834560).

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

6754151040 is a wasteful number, since it uses less digits than its factorization.

6754151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 6754151040 is about 82183.6421680130. The cubic root of 6754151040 is about 1890.2689015793.

The spelling of 6754151040 in words is "six billion, seven hundred fifty-four million, one hundred fifty-one thousand, forty".