4027925760768 has 1944 divisors, whose sum is σ = 15879427837728. Its totient is φ = 992612745216.

The previous prime is 4027925760743. The next prime is 4027925760799. The reversal of 4027925760768 is 8670675297204.

4027925760768 is a `hidden beast` number, since 40 + 279 + 257 + 6 + 0 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 55177065180 + ... + 55177065252.

Almost surely, 2^{4027925760768} is an apocalyptic number.

4027925760768 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 4027925760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939713918864).

4027925760768 is an abundant number, since it is smaller than the sum of its proper divisors (11851502076960).

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

4027925760768 is an frugal number, since it uses more digits than its factorization.

4027925760768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 4027925760768 in words is "four trillion, twenty-seven billion, nine hundred twenty-five million, seven hundred sixty thousand, seven hundred sixty-eight".