5675636736 has 768 divisors, whose sum is σ = 22140518400. Its totient is φ = 1393459200.

The previous prime is 5675636717. The next prime is 5675636749. The reversal of 5675636736 is 6376365765.

It is a happy number.

5675636736 is a `hidden beast` number, since 5 + 6 + 7 + 563 + 6 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 131991531 + ... + 131991573.

It is an arithmetic number, because the mean of its divisors is an integer number (28828800).

Almost surely, 2^5675636736 is an apocalyptic number.

5675636736 is a gapful number since it is divisible by the number (56) 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 5675636736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070259200).

5675636736 is an abundant number, since it is smaller than the sum of its proper divisors (16464881664).

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

5675636736 is a wasteful number, since it uses less digits than its factorization.

5675636736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 54.

The square root of 5675636736 is about 75336.8219133247. The cubic root of 5675636736 is about 1783.7672952186.

It can be divided in two parts, 5675 and 636736, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 5675636736 in words is "five billion, six hundred seventy-five million, six hundred thirty-six thousand, seven hundred thirty-six".