10270636984320 has 768 divisors, whose sum is σ = 35740504800000. Its totient is φ = 2509054672896.

The previous prime is 10270636984249. The next prime is 10270636984331. The reversal of 10270636984320 is 2348963607201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3736134306 + ... + 3736137054.

It is an arithmetic number, because the mean of its divisors is an integer number (46537115625).

Almost surely, 2^{10270636984320} is an apocalyptic number.

10270636984320 is a gapful number since it is divisible by the number (10) 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 10270636984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17870252400000).

10270636984320 is an abundant number, since it is smaller than the sum of its proper divisors (25469867815680).

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

10270636984320 is a wasteful number, since it uses less digits than its factorization.

10270636984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 10270636984320 in words is "ten trillion, two hundred seventy billion, six hundred thirty-six million, nine hundred eighty-four thousand, three hundred twenty".