35605422720 has 960 divisors, whose sum is σ = 150435156960. Its totient is φ = 8000778240.

The previous prime is 35605422701. The next prime is 35605422763. The reversal of 35605422720 is 2722450653.

35605422720 is a `hidden beast` number, since 3 + 5 + 605 + 4 + 2 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×35605422720² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 271797055 + ... + 271797185.

Almost surely, 2^35605422720 is an apocalyptic number.

35605422720 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 35605422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75217578480).

35605422720 is an abundant number, since it is smaller than the sum of its proper divisors (114829734240).

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

35605422720 is a wasteful number, since it uses less digits than its factorization.

35605422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 35605422720 in words is "thirty-five billion, six hundred five million, four hundred twenty-two thousand, seven hundred twenty".