36959016960 has 336 divisors, whose sum is σ = 132986009520. Its totient is φ = 9853747200.

The previous prime is 36959016959. The next prime is 36959017001. The reversal of 36959016960 is 6961095963.

It is a happy number.

36959016960 is a `hidden beast` number, since 36 + 9 + 590 + 16 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36959016897 and 36959016906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7462485 + ... + 7467435.

It is an arithmetic number, because the mean of its divisors is an integer number (395791695).

Almost surely, 2^36959016960 is an apocalyptic number.

36959016960 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 36959016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66493004760).

36959016960 is an abundant number, since it is smaller than the sum of its proper divisors (96026992560).

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

36959016960 is an frugal number, since it uses more digits than its factorization.

36959016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 36959016960 in words is "thirty-six billion, nine hundred fifty-nine million, sixteen thousand, nine hundred sixty".