36822098933760 has 1536 divisors, whose sum is σ = 147818151936000. Its totient is φ = 7634818695168.

The previous prime is 36822098933681. The next prime is 36822098933803. The reversal of 36822098933760 is 6733989022863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 36822098933691 and 36822098933700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15047852857 + ... + 15047855303.

It is an arithmetic number, because the mean of its divisors is an integer number (96235776000).

Almost surely, 2^{36822098933760} is an apocalyptic number.

36822098933760 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 36822098933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73909075968000).

36822098933760 is an abundant number, since it is smaller than the sum of its proper divisors (110996053002240).

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

36822098933760 is a wasteful number, since it uses less digits than its factorization.

36822098933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 36822098933760 in words is "thirty-six trillion, eight hundred twenty-two billion, ninety-eight million, nine hundred thirty-three thousand, seven hundred sixty".