1975920768 has 192 divisors, whose sum is σ = 5897411520. Its totient is φ = 634521600.

The previous prime is 1975920733. The next prime is 1975920769. The reversal of 1975920768 is 8670295791.

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

It is a super-3 number, since 3×1975920768³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1975920769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6436071 + ... + 6436377.

It is an arithmetic number, because the mean of its divisors is an integer number (30715685).

Almost surely, 2^1975920768 is an apocalyptic number.

1975920768 is a gapful number since it is divisible by the number (18) 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 1975920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948705760).

1975920768 is an abundant number, since it is smaller than the sum of its proper divisors (3921490752).

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

1975920768 is a wasteful number, since it uses less digits than its factorization.

1975920768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 1975920768 is about 44451.3303287989. The cubic root of 1975920768 is about 1254.8442991338.

The spelling of 1975920768 in words is "one billion, nine hundred seventy-five million, nine hundred twenty thousand, seven hundred sixty-eight".