35664998561280 has 1920 divisors, whose sum is σ = 153214332226560. Its totient is φ = 7782562529280.

The previous prime is 35664998561251. The next prime is 35664998561287. The reversal of 35664998561280 is 8216589946653.

It is a happy number.

35664998561280 is a `hidden beast` number, since 3 + 5 + 6 + 6 + 499 + 8 + 5 + 6 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×35664998561280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 35664998561199 and 35664998561208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35664998561287) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5053843512 + ... + 5053850568.

It is an arithmetic number, because the mean of its divisors is an integer number (79799131368).

Almost surely, 2^{35664998561280} is an apocalyptic number.

35664998561280 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 35664998561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76607166113280).

35664998561280 is an abundant number, since it is smaller than the sum of its proper divisors (117549333665280).

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

35664998561280 is a wasteful number, since it uses less digits than its factorization.

35664998561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7157 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 35664998561280 in words is "thirty-five trillion, six hundred sixty-four billion, nine hundred ninety-eight million, five hundred sixty-one thousand, two hundred eighty".