36920082960 has 320 divisors, whose sum is σ = 133398604800. Its totient is φ = 9374496768.

The previous prime is 36920082949. The next prime is 36920083037. The reversal of 36920082960 is 6928002963.

36920082960 is a `hidden beast` number, since 369 + 200 + 8 + 29 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3751326 + ... + 3761154.

It is an arithmetic number, because the mean of its divisors is an integer number (416870640).

Almost surely, 2^36920082960 is an apocalyptic number.

36920082960 is a gapful number since it is divisible by the number (30) 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 36920082960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66699302400).

36920082960 is an abundant number, since it is smaller than the sum of its proper divisors (96478521840).

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

36920082960 is a wasteful number, since it uses less digits than its factorization.

36920082960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9935 (or 9923 counting only the distinct ones).

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

The spelling of 36920082960 in words is "thirty-six billion, nine hundred twenty million, eighty-two thousand, nine hundred sixty".