36630166613040 has 5760 divisors, whose sum is σ = 188995523512320. Its totient is φ = 6294454272000.

The previous prime is 36630166613011. The next prime is 36630166613063. The reversal of 36630166613040 is 4031666103663.

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 1151 ways as a sum of consecutive naturals, for example, 600494534610 + ... + 600494534670.

It is an arithmetic number, because the mean of its divisors is an integer number (32811722832).

Almost surely, 2^{36630166613040} is an apocalyptic number.

36630166613040 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 36630166613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94497761756160).

36630166613040 is an abundant number, since it is smaller than the sum of its proper divisors (152365356899280).

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

36630166613040 is a wasteful number, since it uses less digits than its factorization.

36630166613040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 36630166613040 in words is "thirty-six trillion, six hundred thirty billion, one hundred sixty-six million, six hundred thirteen thousand, forty".