8970727698240 has 672 divisors, whose sum is σ = 36283281979392. Its totient is φ = 1837781299200.

The previous prime is 8970727698223. The next prime is 8970727698241. The reversal of 8970727698240 is 428967270798.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8970727698241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57653827 + ... + 57809213.

It is an arithmetic number, because the mean of its divisors is an integer number (53992979136).

Almost surely, 2^{8970727698240} is an apocalyptic number.

8970727698240 is a gapful number since it is divisible by the number (80) 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 8970727698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18141640989696).

8970727698240 is an abundant number, since it is smaller than the sum of its proper divisors (27312554281152).

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

8970727698240 is a wasteful number, since it uses less digits than its factorization.

8970727698240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155507 (or 155486 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 69.

The spelling of 8970727698240 in words is "eight trillion, nine hundred seventy billion, seven hundred twenty-seven million, six hundred ninety-eight thousand, two hundred forty".