36926128512 has 384 divisors, whose sum is σ = 137670624000. Its totient is φ = 9225695232.

The previous prime is 36926128511. The next prime is 36926128541. The reversal of 36926128512 is 21582162963.

36926128512 is a `hidden beast` number, since 3 + 6 + 9 + 2 + 6 + 128 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36926128511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1982539 + ... + 2001077.

It is an arithmetic number, because the mean of its divisors is an integer number (358517250).

Almost surely, 2^36926128512 is an apocalyptic number.

36926128512 is a gapful number since it is divisible by the number (32) 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 36926128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68835312000).

36926128512 is an abundant number, since it is smaller than the sum of its proper divisors (100744495488).

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

36926128512 is a wasteful number, since it uses less digits than its factorization.

36926128512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18598 (or 18583 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 36926128512 in words is "thirty-six billion, nine hundred twenty-six million, one hundred twenty-eight thousand, five hundred twelve".