36746559360 has 1024 divisors, whose sum is σ = 159805440000. Its totient is φ = 7793418240.

The previous prime is 36746559347. The next prime is 36746559413. The reversal of 36746559360 is 6395564763.

36746559360 is a `hidden beast` number, since 3 + 6 + 7 + 46 + 5 + 593 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36746559297 and 36746559306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135596025 + ... + 135596295.

It is an arithmetic number, because the mean of its divisors is an integer number (156060000).

Almost surely, 2^36746559360 is an apocalyptic number.

36746559360 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 36746559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79902720000).

36746559360 is an abundant number, since it is smaller than the sum of its proper divisors (123058880640).

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

36746559360 is a wasteful number, since it uses less digits than its factorization.

36746559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 36746559360 in words is "thirty-six billion, seven hundred forty-six million, five hundred fifty-nine thousand, three hundred sixty".