36990964224 has 480 divisors, whose sum is σ = 119393429760. Its totient is φ = 11300438016.

The previous prime is 36990964159. The next prime is 36990964237. The reversal of 36990964224 is 42246909963.

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

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 47 ways as a sum of consecutive naturals, for example, 187771294 + ... + 187771490.

It is an arithmetic number, because the mean of its divisors is an integer number (248736312).

Almost surely, 2^36990964224 is an apocalyptic number.

36990964224 is a gapful number since it is divisible by the number (34) 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 36990964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59696714880).

36990964224 is an abundant number, since it is smaller than the sum of its proper divisors (82402465536).

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

36990964224 is a wasteful number, since it uses less digits than its factorization.

36990964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 36990964224 in words is "thirty-six billion, nine hundred ninety million, nine hundred sixty-four thousand, two hundred twenty-four".