2027675664 has 360 divisors, whose sum is σ = 6961866912. Its totient is φ = 548674560.

The previous prime is 2027675651. The next prime is 2027675677. The reversal of 2027675664 is 4665767202.

2027675664 is a `hidden beast` number, since 2 + 0 + 27 + 67 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2027675651) and next prime (2027675677).

It is a super-2 number, since 2×2027675664² = 8222937196755681792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12439647 + ... + 12439809.

Almost surely, 2^2027675664 is an apocalyptic number.

2027675664 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 2027675664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480933456).

2027675664 is an abundant number, since it is smaller than the sum of its proper divisors (4934191248).

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

2027675664 is a wasteful number, since it uses less digits than its factorization.

2027675664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 2027675664 is about 45029.7197859369. The cubic root of 2027675664 is about 1265.7059730617.

The spelling of 2027675664 in words is "two billion, twenty-seven million, six hundred seventy-five thousand, six hundred sixty-four".