36720996554880 has 1536 divisors, whose sum is σ = 148926788075520. Its totient is φ = 8568679219200.

The previous prime is 36720996554873. The next prime is 36720996554887. The reversal of 36720996554880 is 8845569902763.

It is a happy number.

36720996554880 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 0 + 9 + 96 + 55 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36720996554873) and next prime (36720996554887).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 36720996554799 and 36720996554808.

It is not an unprimeable number, because it can be changed into a prime (36720996554887) 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 191 ways as a sum of consecutive naturals, for example, 4904630497 + ... + 4904637983.

It is an arithmetic number, because the mean of its divisors is an integer number (96957544320).

Almost surely, 2^{36720996554880} is an apocalyptic number.

36720996554880 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 36720996554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74463394037760).

36720996554880 is an abundant number, since it is smaller than the sum of its proper divisors (112205791520640).

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

36720996554880 is a wasteful number, since it uses less digits than its factorization.

36720996554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7640 (or 7616 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 36720996554880 in words is "thirty-six trillion, seven hundred twenty billion, nine hundred ninety-six million, five hundred fifty-four thousand, eight hundred eighty".