35547074648064 has 576 divisors, whose sum is σ = 118878167116800. Its totient is φ = 10022845022208.

The previous prime is 35547074648009. The next prime is 35547074648093. The reversal of 35547074648064 is 46084647074553.

35547074648064 is a `hidden beast` number, since 3 + 5 + 54 + 7 + 0 + 7 + 46 + 480 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 35547074647992 and 35547074648010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17230767097 + ... + 17230769159.

It is an arithmetic number, because the mean of its divisors is an integer number (206385706800).

Almost surely, 2^{35547074648064} 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 35547074648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439083558400).

35547074648064 is an abundant number, since it is smaller than the sum of its proper divisors (83331092468736).

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

35547074648064 is a wasteful number, since it uses less digits than its factorization.

35547074648064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 63.

The spelling of 35547074648064 in words is "thirty-five trillion, five hundred forty-seven billion, seventy-four million, six hundred forty-eight thousand, sixty-four".