36210618561600 has 2352 divisors, whose sum is σ = 157361941905408. Its totient is φ = 8026011463680.

The previous prime is 36210618561529. The next prime is 36210618561707. The reversal of 36210618561600 is 616581601263.

36210618561600 is a `hidden beast` number, since 3 + 6 + 2 + 10 + 6 + 18 + 5 + 616 + 0 + 0 = 666.

It is a super-2 number, since 2×36210618561600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 48735690829 + ... + 48735691571.

Almost surely, 2^{36210618561600} is an apocalyptic number.

36210618561600 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 36210618561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78680970952704).

36210618561600 is an abundant number, since it is smaller than the sum of its proper divisors (121151323343808).

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

36210618561600 is a wasteful number, since it uses less digits than its factorization.

36210618561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 36210618561600 in words is "thirty-six trillion, two hundred ten billion, six hundred eighteen million, five hundred sixty-one thousand, six hundred".