65427901440 has 704 divisors, whose sum is σ = 244067904000. Its totient is φ = 14792785920.

The previous prime is 65427901433. The next prime is 65427901499. The reversal of 65427901440 is 4410972456.

It is a tau number, because it is divible by the number of its divisors (704).

It is a junction number, because it is equal to n+sod(n) for n = 65427901392 and 65427901401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285711246 + ... + 285711474.

Almost surely, 2^65427901440 is an apocalyptic number.

65427901440 is a gapful number since it is divisible by the number (60) 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 65427901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122033952000).

65427901440 is an abundant number, since it is smaller than the sum of its proper divisors (178640002560).

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

65427901440 is a wasteful number, since it uses less digits than its factorization.

65427901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 65427901440 in words is "sixty-five billion, four hundred twenty-seven million, nine hundred one thousand, four hundred forty".