2675664000 has 384 divisors, whose sum is σ = 10183520880. Its totient is φ = 670924800.

The previous prime is 2675663993. The next prime is 2675664011. The reversal of 2675664000 is 4665762.

2675664000 is a `hidden beast` number, since 2 + 6 + 7 + 5 + 6 + 640 + 0 + 0 = 666.

2675664000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1005143616 + 1670520384 = 31704^2 + 40872^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2447454 + ... + 2448546.

Almost surely, 2^2675664000 is an apocalyptic number.

2675664000 is a gapful number since it is divisible by the number (20) 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 2675664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091760440).

2675664000 is an abundant number, since it is smaller than the sum of its proper divisors (7507856880).

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

2675664000 is a wasteful number, since it uses less digits than its factorization.

2675664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2675664000 is about 51726.8208959337. The cubic root of 2675664000 is about 1388.2803985773.

The spelling of 2675664000 in words is "two billion, six hundred seventy-five million, six hundred sixty-four thousand".