36616406400 has 1296 divisors, whose sum is σ = 162864849420. Its totient is φ = 8099481600.

The previous prime is 36616406389. The next prime is 36616406441. The reversal of 36616406400 is 460461663.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

36616406400 is a `hidden beast` number, since 3 + 6 + 6 + 1 + 6 + 4 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×36616406400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1181174385 + ... + 1181174415.

Almost surely, 2^36616406400 is an apocalyptic number.

36616406400 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 36616406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81432424710).

36616406400 is an abundant number, since it is smaller than the sum of its proper divisors (126248443020).

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

36616406400 is an equidigital number, since it uses as much as digits as its factorization.

36616406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 36616406400 in words is "thirty-six billion, six hundred sixteen million, four hundred six thousand, four hundred".