36374486642928 has 240 divisors, whose sum is σ = 116879747003136. Its totient is φ = 10344571223040.

The previous prime is 36374486642843. The next prime is 36374486642929. The reversal of 36374486642928 is 82924668447363.

It is a happy number.

36374486642928 is a `hidden beast` number, since 3 + 6 + 37 + 448 + 6 + 64 + 2 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36374486642929) 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, 1169920663 + ... + 1169951753.

Almost surely, 2^{36374486642928} 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 36374486642928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58439873501568).

36374486642928 is an abundant number, since it is smaller than the sum of its proper divisors (80505260360208).

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

36374486642928 is a wasteful number, since it uses less digits than its factorization.

36374486642928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36452 (or 36443 counting only the distinct ones).

The product of its digits is 2006581248, while the sum is 72.

The spelling of 36374486642928 in words is "thirty-six trillion, three hundred seventy-four billion, four hundred eighty-six million, six hundred forty-two thousand, nine hundred twenty-eight".