36780891792128 has 432 divisors, whose sum is σ = 87003158963616. Its totient is φ = 15377100963840.

The previous prime is 36780891792107. The next prime is 36780891792131. The reversal of 36780891792128 is 82129719808763.

36780891792128 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25313758250 + ... + 25313759702.

Almost surely, 2^{36780891792128} is an apocalyptic number.

36780891792128 is a gapful number since it is divisible by the number (38) 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 36780891792128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43501579481808).

36780891792128 is an abundant number, since it is smaller than the sum of its proper divisors (50222267171488).

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

36780891792128 is a wasteful number, since it uses less digits than its factorization.

36780891792128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 71.

The spelling of 36780891792128 in words is "thirty-six trillion, seven hundred eighty billion, eight hundred ninety-one million, seven hundred ninety-two thousand, one hundred twenty-eight".