36662886741600 has 648 divisors, whose sum is σ = 152634575090088. Its totient is φ = 8255007129600.

The previous prime is 36662886741599. The next prime is 36662886741631. The reversal of 36662886741600 is 614768826663.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22862080 + ... + 24413120.

It is an arithmetic number, because the mean of its divisors is an integer number (235547183781).

Almost surely, 2^{36662886741600} is an apocalyptic number.

36662886741600 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 36662886741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76317287545044).

36662886741600 is an abundant number, since it is smaller than the sum of its proper divisors (115971688348488).

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

36662886741600 is a wasteful number, since it uses less digits than its factorization.

36662886741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551148 (or 1551125 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 36662886741600 in words is "thirty-six trillion, six hundred sixty-two billion, eight hundred eighty-six million, seven hundred forty-one thousand, six hundred".