427527435160640 has 224 divisors, whose sum is σ = 1038831024720384. Its totient is φ = 167552460472320.

The previous prime is 427527435160613. The next prime is 427527435160739. The reversal of 427527435160640 is 46061534725724.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6323681717 + ... + 6323749323.

It is an arithmetic number, because the mean of its divisors is an integer number (4637638503216).

Almost surely, 2^{427527435160640} is an apocalyptic number.

427527435160640 is a gapful number since it is divisible by the number (40) 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 427527435160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519415512360192).

427527435160640 is an abundant number, since it is smaller than the sum of its proper divisors (611303589559744).

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

427527435160640 is a wasteful number, since it uses less digits than its factorization.

427527435160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69485 (or 69475 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 56.

The spelling of 427527435160640 in words is "four hundred twenty-seven trillion, five hundred twenty-seven billion, four hundred thirty-five million, one hundred sixty thousand, six hundred forty".