4025827795968 has 1056 divisors, whose sum is σ = 13948421760000. Its totient is φ = 1146976174080.

The previous prime is 4025827795919. The next prime is 4025827795981. The reversal of 4025827795968 is 8695977285204.

4025827795968 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 8 + 27 + 7 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4025827795896 and 4025827795905.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10349171518 + ... + 10349171906.

Almost surely, 2^{4025827795968} is an apocalyptic number.

4025827795968 is a gapful number since it is divisible by the number (48) 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 4025827795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974210880000).

4025827795968 is an abundant number, since it is smaller than the sum of its proper divisors (9922593964032).

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

4025827795968 is a wasteful number, since it uses less digits than its factorization.

4025827795968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 4025827795968 in words is "four trillion, twenty-five billion, eight hundred twenty-seven million, seven hundred ninety-five thousand, nine hundred sixty-eight".