36925728002320 has 80 divisors (see below), whose sum is σ = 86415811913520. Its totient is φ = 14673382244352.

The previous prime is 36925728002269. The next prime is 36925728002323. The reversal of 36925728002320 is 2320082752963.

It can be written as a sum of positive squares in 8 ways, for example, as 898650912784 + 36027077089536 = 947972^2 + 6002256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (36925728002323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65445576 + ... + 66007384.

It is an arithmetic number, because the mean of its divisors is an integer number (1080197648919).

Almost surely, 2^{36925728002320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36925728002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43207905956760).

36925728002320 is an abundant number, since it is smaller than the sum of its proper divisors (49490083911200).

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

36925728002320 is a wasteful number, since it uses less digits than its factorization.

36925728002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567212 (or 567206 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 36925728002320 in words is "thirty-six trillion, nine hundred twenty-five billion, seven hundred twenty-eight million, two thousand, three hundred twenty".