5675670000 has 1500 divisors, whose sum is σ = 28053188856. Its totient is φ = 1088640000.

The previous prime is 5675669977. The next prime is 5675670001. The reversal of 5675670000 is 765765.

It is a tau number, because it is divible by the number of its divisors (1500).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5675670001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 436589994 + ... + 436590006.

Almost surely, 2^5675670000 is an apocalyptic number.

5675670000 is a gapful number since it is divisible by the number (50) 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 5675670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14026594428).

5675670000 is an abundant number, since it is smaller than the sum of its proper divisors (22377518856).

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

5675670000 is a wasteful number, since it uses less digits than its factorization.

5675670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5675670000 is about 75337.0426815388. The cubic root of 5675670000 is about 1783.7707800035.

It can be divided in two parts, 56756 and 70000, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 5675670000 in words is "five billion, six hundred seventy-five million, six hundred seventy thousand".