36898638366720 has 768 divisors, whose sum is σ = 132799483514880. Its totient is φ = 8678356549632.

The previous prime is 36898638366713. The next prime is 36898638366727. The reversal of 36898638366720 is 2766383689863.

It is an interprime number because it is at equal distance from previous prime (36898638366713) and next prime (36898638366727).

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (36898638366727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11968418299 + ... + 11968421381.

It is an arithmetic number, because the mean of its divisors is an integer number (172915994160).

Almost surely, 2^{36898638366720} is an apocalyptic number.

36898638366720 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 36898638366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66399741757440).

36898638366720 is an abundant number, since it is smaller than the sum of its proper divisors (95900845148160).

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

36898638366720 is a wasteful number, since it uses less digits than its factorization.

36898638366720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 75.

The spelling of 36898638366720 in words is "thirty-six trillion, eight hundred ninety-eight billion, six hundred thirty-eight million, three hundred sixty-six thousand, seven hundred twenty".