35427065856 has 672 divisors, whose sum is σ = 123833461248. Its totient is φ = 8918138880.

The previous prime is 35427065813. The next prime is 35427065909. The reversal of 35427065856 is 65856072453.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×35427065856³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 35427065799 and 35427065808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485302236 + ... + 485302308.

It is an arithmetic number, because the mean of its divisors is an integer number (184275984).

Almost surely, 2^35427065856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35427065856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916730624).

35427065856 is an abundant number, since it is smaller than the sum of its proper divisors (88406395392).

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

35427065856 is a wasteful number, since it uses less digits than its factorization.

35427065856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 35427065856 in words is "thirty-five billion, four hundred twenty-seven million, sixty-five thousand, eight hundred fifty-six".