35736874560 has 168 divisors, whose sum is σ = 123258535296. Its totient is φ = 9503585280.

The previous prime is 35736874553. The next prime is 35736874561. The reversal of 35736874560 is 6547863753.

35736874560 is a `hidden beast` number, since 3 + 5 + 7 + 3 + 6 + 8 + 74 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35736874497 and 35736874506.

It is not an unprimeable number, because it can be changed into a prime (35736874561) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1040055 + ... + 1073865.

Almost surely, 2^35736874560 is an apocalyptic number.

35736874560 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 35736874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61629267648).

35736874560 is an abundant number, since it is smaller than the sum of its proper divisors (87521660736).

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

35736874560 is a wasteful number, since it uses less digits than its factorization.

35736874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34201 (or 34188 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 35736874560 in words is "thirty-five billion, seven hundred thirty-six million, eight hundred seventy-four thousand, five hundred sixty".