35005540644 has 144 divisors (see below), whose sum is σ = 97517347200. Its totient is φ = 10538491392.

The previous prime is 35005540607. The next prime is 35005540649. The reversal of 35005540644 is 44604550053.

35005540644 is a `hidden beast` number, since 3 + 5 + 0 + 0 + 5 + 5 + 4 + 0 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 35005540599 and 35005540608.

It is not an unprimeable number, because it can be changed into a prime (35005540649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4920562 + ... + 4927670.

It is an arithmetic number, because the mean of its divisors is an integer number (677203800).

Almost surely, 2^35005540644 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 35005540644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48758673600).

35005540644 is an abundant number, since it is smaller than the sum of its proper divisors (62511806556).

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

35005540644 is a wasteful number, since it uses less digits than its factorization.

35005540644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7474 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 35005540644 in words is "thirty-five billion, five million, five hundred forty thousand, six hundred forty-four".