36976721913120 has 768 divisors, whose sum is σ = 133766857728000. Its totient is φ = 8514561904640.

The previous prime is 36976721913083. The next prime is 36976721913121. The reversal of 36976721913120 is 2131912767963.

It is not an unprimeable number, because it can be changed into a prime (36976721913121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9572020309 + ... + 9572024171.

It is an arithmetic number, because the mean of its divisors is an integer number (174175596000).

Almost surely, 2^{36976721913120} is an apocalyptic number.

36976721913120 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 36976721913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66883428864000).

36976721913120 is an abundant number, since it is smaller than the sum of its proper divisors (96790135814880).

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

36976721913120 is a wasteful number, since it uses less digits than its factorization.

36976721913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 57.

The spelling of 36976721913120 in words is "thirty-six trillion, nine hundred seventy-six billion, seven hundred twenty-one million, nine hundred thirteen thousand, one hundred twenty".