35664366568320 has 1152 divisors, whose sum is σ = 145697546966400. Its totient is φ = 8014062551040.

The previous prime is 35664366568273. The next prime is 35664366568339. The reversal of 35664366568320 is 2386566346653.

35664366568320 is a `hidden beast` number, since 3 + 5 + 6 + 6 + 4 + 3 + 66 + 568 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5373564042 + ... + 5373570678.

It is an arithmetic number, because the mean of its divisors is an integer number (126473565075).

Almost surely, 2^{35664366568320} is an apocalyptic number.

35664366568320 is a gapful number since it is divisible by the number (30) 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 35664366568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72848773483200).

35664366568320 is an abundant number, since it is smaller than the sum of its proper divisors (110033180398080).

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

35664366568320 is a wasteful number, since it uses less digits than its factorization.

35664366568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6974 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 63.

The spelling of 35664366568320 in words is "thirty-five trillion, six hundred sixty-four billion, three hundred sixty-six million, five hundred sixty-eight thousand, three hundred twenty".