1979201664 has 192 divisors, whose sum is σ = 6245460000. Its totient is φ = 596643840.

The previous prime is 1979201629. The next prime is 1979201689. The reversal of 1979201664 is 4661029791.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3966087 + ... + 3966585.

Almost surely, 2^1979201664 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 1979201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122730000).

1979201664 is an abundant number, since it is smaller than the sum of its proper divisors (4266258336).

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

1979201664 is a wasteful number, since it uses less digits than its factorization.

1979201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1979201664 is about 44488.2193844618. The cubic root of 1979201664 is about 1255.5384459040.

The spelling of 1979201664 in words is "one billion, nine hundred seventy-nine million, two hundred one thousand, six hundred sixty-four".