1975956864 has 256 divisors, whose sum is σ = 6467420160. Its totient is φ = 522086400.

The previous prime is 1975956823. The next prime is 1975956877. The reversal of 1975956864 is 4686595791.

It is a junction number, because it is equal to n+sod(n) for n = 1975956798 and 1975956807.

It is a congruent number.

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, 1916029 + ... + 1917059.

It is an arithmetic number, because the mean of its divisors is an integer number (25263360).

Almost surely, 2^1975956864 is an apocalyptic number.

1975956864 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 1975956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233710080).

1975956864 is an abundant number, since it is smaller than the sum of its proper divisors (4491463296).

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

1975956864 is a wasteful number, since it uses less digits than its factorization.

1975956864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1097 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 60.

The square root of 1975956864 is about 44451.7363440395. The cubic root of 1975956864 is about 1254.8519402270.

The spelling of 1975956864 in words is "one billion, nine hundred seventy-five million, nine hundred fifty-six thousand, eight hundred sixty-four".