6757655040 has 640 divisors, whose sum is σ = 26091901440. Its totient is φ = 1672151040.

The previous prime is 6757654979. The next prime is 6757655053. The reversal of 6757655040 is 405567576.

6757655040 is a `hidden beast` number, since 6 + 7 + 57 + 6 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

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, 95178205 + ... + 95178275.

It is an arithmetic number, because the mean of its divisors is an integer number (40768596).

Almost surely, 2^6757655040 is an apocalyptic number.

6757655040 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 6757655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045950720).

6757655040 is an abundant number, since it is smaller than the sum of its proper divisors (19334246400).

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

6757655040 is an frugal number, since it uses more digits than its factorization.

6757655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 6757655040 is about 82204.9575147387. The cubic root of 6757655040 is about 1890.5957305725.

The spelling of 6757655040 in words is "six billion, seven hundred fifty-seven million, six hundred fifty-five thousand, forty".