1995079680 has 512 divisors, whose sum is σ = 7927113600. Its totient is φ = 471859200.

The previous prime is 1995079637. The next prime is 1995079771. The reversal of 1995079680 is 869705991.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 48660460 + ... + 48660500.

Almost surely, 2^1995079680 is an apocalyptic number.

1995079680 is a gapful number since it is divisible by the number (10) 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 1995079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963556800).

1995079680 is an abundant number, since it is smaller than the sum of its proper divisors (5932033920).

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

1995079680 is an equidigital number, since it uses as much as digits as its factorization.

1995079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 1995079680 is about 44666.3148244849. The cubic root of 1995079680 is about 1258.8869989971.

The spelling of 1995079680 in words is "one billion, nine hundred ninety-five million, seventy-nine thousand, six hundred eighty".