36662638510080 has 576 divisors, whose sum is σ = 139700370733560. Its totient is φ = 8887869112320.

The previous prime is 36662638510073. The next prime is 36662638510109. The reversal of 36662638510080 is 8001583626663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 36662638509999 and 36662638510026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178319019 + ... + 178524501.

Almost surely, 2^{36662638510080} is an apocalyptic number.

36662638510080 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 36662638510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69850185366780).

36662638510080 is an abundant number, since it is smaller than the sum of its proper divisors (103037732223480).

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

36662638510080 is a wasteful number, since it uses less digits than its factorization.

36662638510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205546 (or 205504 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 36662638510080 in words is "thirty-six trillion, six hundred sixty-two billion, six hundred thirty-eight million, five hundred ten thousand, eighty".