36661848696000 has 2240 divisors, whose sum is σ = 156359131568640. Its totient is φ = 8386882560000.

The previous prime is 36661848695951. The next prime is 36661848696023. The reversal of 36661848696000 is 69684816663.

It is a super-2 number, since 2×36661848696000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 57016871679 + ... + 57016872321.

It is an arithmetic number, because the mean of its divisors is an integer number (69803183736).

Almost surely, 2^{36661848696000} is an apocalyptic number.

36661848696000 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 36661848696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78179565784320).

36661848696000 is an abundant number, since it is smaller than the sum of its proper divisors (119697282872640).

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

36661848696000 is a wasteful number, since it uses less digits than its factorization.

36661848696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 36661848696000 in words is "thirty-six trillion, six hundred sixty-one billion, eight hundred forty-eight million, six hundred ninety-six thousand".