36972123408 has 480 divisors, whose sum is σ = 124402037760. Its totient is φ = 10512529920.

The previous prime is 36972123401. The next prime is 36972123431. The reversal of 36972123408 is 80432127963.

36972123408 is a `hidden beast` number, since 3 + 6 + 97 + 212 + 340 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (36972123401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 140578285 + ... + 140578547.

It is an arithmetic number, because the mean of its divisors is an integer number (259170912).

Almost surely, 2^36972123408 is an apocalyptic number.

36972123408 is a gapful number since it is divisible by the number (38) 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 36972123408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62201018880).

36972123408 is an abundant number, since it is smaller than the sum of its proper divisors (87429914352).

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

36972123408 is a wasteful number, since it uses less digits than its factorization.

36972123408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 369721 and 23408, that added together give a square (393129 = 627²).

The spelling of 36972123408 in words is "thirty-six billion, nine hundred seventy-two million, one hundred twenty-three thousand, four hundred eight".