36541617360 has 320 divisors, whose sum is σ = 120091313664. Its totient is φ = 9179136000.

The previous prime is 36541617353. The next prime is 36541617367. The reversal of 36541617360 is 6371614563.

It is an interprime number because it is at equal distance from previous prime (36541617353) and next prime (36541617367).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36541617367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60801060 + ... + 60801660.

Almost surely, 2^36541617360 is an apocalyptic number.

36541617360 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 36541617360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60045656832).

36541617360 is an abundant number, since it is smaller than the sum of its proper divisors (83549696304).

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

36541617360 is a wasteful number, since it uses less digits than its factorization.

36541617360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 36541617360 in words is "thirty-six billion, five hundred forty-one million, six hundred seventeen thousand, three hundred sixty".