1679201664 has 256 divisors, whose sum is σ = 5384033280. Its totient is φ = 453353472.

The previous prime is 1679201663. The next prime is 1679201677. The reversal of 1679201664 is 4661029761.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679201663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9706282 + ... + 9706454.

It is an arithmetic number, because the mean of its divisors is an integer number (21031380).

Almost surely, 2^1679201664 is an apocalyptic number.

1679201664 is a gapful number since it is divisible by the number (14) 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 1679201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692016640).

1679201664 is an abundant number, since it is smaller than the sum of its proper divisors (3704831616).

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

1679201664 is a wasteful number, since it uses less digits than its factorization.

1679201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1679201664 is about 40978.0632045977. The cubic root of 1679201664 is about 1188.5960572700.

The spelling of 1679201664 in words is "one billion, six hundred seventy-nine million, two hundred one thousand, six hundred sixty-four".