36778635399168 has 624 divisors, whose sum is σ = 116485948278336. Its totient is φ = 11112107212800.

The previous prime is 36778635399157. The next prime is 36778635399169. The reversal of 36778635399168 is 86199353687763.

36778635399168 is a `hidden beast` number, since 3 + 6 + 7 + 7 + 8 + 63 + 5 + 399 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is not an unprimeable number, because it can be changed into a prime (36778635399169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11141663118 + ... + 11141666418.

It is an arithmetic number, because the mean of its divisors is an integer number (186676199164).

Almost surely, 2^{36778635399168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36778635399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58242974139168).

36778635399168 is an abundant number, since it is smaller than the sum of its proper divisors (79707312879168).

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

36778635399168 is a wasteful number, since it uses less digits than its factorization.

36778635399168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3733 counting only the distinct ones).

The product of its digits is 7407106560, while the sum is 81.

The spelling of 36778635399168 in words is "thirty-six trillion, seven hundred seventy-eight billion, six hundred thirty-five million, three hundred ninety-nine thousand, one hundred sixty-eight".