36707630603904 has 576 divisors, whose sum is σ = 116538931080000. Its totient is φ = 11083100700672.

The previous prime is 36707630603899. The next prime is 36707630603921. The reversal of 36707630603904 is 40930603670763.

36707630603904 is a `hidden beast` number, since 36 + 70 + 76 + 30 + 60 + 390 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 2828226087 + ... + 2828239065.

It is an arithmetic number, because the mean of its divisors is an integer number (202324533125).

Almost surely, 2^{36707630603904} 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 36707630603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58269465540000).

36707630603904 is an abundant number, since it is smaller than the sum of its proper divisors (79831300476096).

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

36707630603904 is a wasteful number, since it uses less digits than its factorization.

36707630603904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13297 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 54.

The spelling of 36707630603904 in words is "thirty-six trillion, seven hundred seven billion, six hundred thirty million, six hundred three thousand, nine hundred four".