36768162816000 has 5376 divisors, whose sum is σ = 182188438548480. Its totient is φ = 7166361600000.

The previous prime is 36768162815963. The next prime is 36768162816013. The reversal of 36768162816000 is 61826186763.

36768162816000 is a `hidden beast` number, since 3 + 6 + 7 + 6 + 8 + 1 + 6 + 28 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 364041215950 + ... + 364041216050.

It is an arithmetic number, because the mean of its divisors is an integer number (33889218480).

Almost surely, 2^{36768162816000} is an apocalyptic number.

36768162816000 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 36768162816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91094219274240).

36768162816000 is an abundant number, since it is smaller than the sum of its proper divisors (145420275732480).

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

36768162816000 is a wasteful number, since it uses less digits than its factorization.

36768162816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 36768162816000 in words is "thirty-six trillion, seven hundred sixty-eight billion, one hundred sixty-two million, eight hundred sixteen thousand".