36090690048 has 640 divisors, whose sum is σ = 128974602240. Its totient is φ = 9747578880.

The previous prime is 36090690029. The next prime is 36090690113. The reversal of 36090690048 is 84009609063.

It is a junction number, because it is equal to n+sod(n) for n = 36090689985 and 36090690012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158989711 + ... + 158989937.

It is an arithmetic number, because the mean of its divisors is an integer number (201522816).

Almost surely, 2^36090690048 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 36090690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64487301120).

36090690048 is an abundant number, since it is smaller than the sum of its proper divisors (92883912192).

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

36090690048 is a wasteful number, since it uses less digits than its factorization.

36090690048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 36090690048 in words is "thirty-six billion, ninety million, six hundred ninety thousand, forty-eight".