36662428396800 has 1080 divisors, whose sum is σ = 137428267527936. Its totient is φ = 9642697850880.

The previous prime is 36662428396793. The next prime is 36662428396829. The reversal of 36662428396800 is 869382426663.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11576388817 + ... + 11576391983.

Almost surely, 2^{36662428396800} is an apocalyptic number.

36662428396800 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 36662428396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68714133763968).

36662428396800 is an abundant number, since it is smaller than the sum of its proper divisors (100765839131136).

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

36662428396800 is a wasteful number, since it uses less digits than its factorization.

36662428396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 36662428396800 in words is "thirty-six trillion, six hundred sixty-two billion, four hundred twenty-eight million, three hundred ninety-six thousand, eight hundred".