2755678464 has 432 divisors, whose sum is σ = 10139875200. Its totient is φ = 713502720.

The previous prime is 2755678463. The next prime is 2755678469. The reversal of 2755678464 is 4648765572.

It is a happy number.

2755678464 is a `hidden beast` number, since 2 + 7 + 556 + 7 + 84 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2755678464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755678463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8692834 + ... + 8693150.

Almost surely, 2^2755678464 is an apocalyptic number.

2755678464 is a gapful number since it is divisible by the number (24) 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 2755678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069937600).

2755678464 is an abundant number, since it is smaller than the sum of its proper divisors (7384196736).

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

2755678464 is a wasteful number, since it uses less digits than its factorization.

2755678464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 340 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 2755678464 is about 52494.5565177953. The cubic root of 2755678464 is about 1401.9833223155.

The spelling of 2755678464 in words is "two billion, seven hundred fifty-five million, six hundred seventy-eight thousand, four hundred sixty-four".