35627364864 has 640 divisors, whose sum is σ = 131404922880. Its totient is φ = 9280438272.

The previous prime is 35627364863. The next prime is 35627364869. The reversal of 35627364864 is 46846372653.

35627364864 is a `hidden beast` number, since 3 + 5 + 627 + 3 + 6 + 4 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 35627364864.

It is not an unprimeable number, because it can be changed into a prime (35627364863) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 159763857 + ... + 159764079.

It is an arithmetic number, because the mean of its divisors is an integer number (205320192).

Almost surely, 2^35627364864 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 35627364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65702461440).

35627364864 is an abundant number, since it is smaller than the sum of its proper divisors (95777558016).

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

35627364864 is a wasteful number, since it uses less digits than its factorization.

35627364864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 375 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 35627364864 in words is "thirty-five billion, six hundred twenty-seven million, three hundred sixty-four thousand, eight hundred sixty-four".