35664779520 has 504 divisors, whose sum is σ = 131672914296. Its totient is φ = 9244606464.

The previous prime is 35664779489. The next prime is 35664779531. The reversal of 35664779520 is 2597746653.

35664779520 is a `hidden beast` number, since 3 + 5 + 6 + 6 + 47 + 79 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20077756416 + 15587023104 = 141696^2 + 124848^2 .

It is a super-3 number, since 3×35664779520³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 34524924 + ... + 34525956.

Almost surely, 2^35664779520 is an apocalyptic number.

35664779520 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 35664779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65836457148).

35664779520 is an abundant number, since it is smaller than the sum of its proper divisors (96008134776).

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

35664779520 is an equidigital number, since it uses as much as digits as its factorization.

35664779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 35664779520 in words is "thirty-five billion, six hundred sixty-four million, seven hundred seventy-nine thousand, five hundred twenty".