1949006664 has 128 divisors (see below), whose sum is σ = 5977843200. Its totient is φ = 583433280.

The previous prime is 1949006659. The next prime is 1949006671. The reversal of 1949006664 is 4666009491.

1949006664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1949006664³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192267 + ... + 202149.

It is an arithmetic number, because the mean of its divisors is an integer number (46701900).

Almost surely, 2^1949006664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1949006664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988921600).

1949006664 is an abundant number, since it is smaller than the sum of its proper divisors (4028836536).

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

1949006664 is a wasteful number, since it uses less digits than its factorization.

1949006664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1949006664 is about 44147.5555835201. Note that the first 4 decimals coincide. The cubic root of 1949006664 is about 1249.1208034090.

The spelling of 1949006664 in words is "one billion, nine hundred forty-nine million, six thousand, six hundred sixty-four".