8270603658240 has 1056 divisors, whose sum is σ = 33640515907200. Its totient is φ = 1714925076480.

The previous prime is 8270603658127. The next prime is 8270603658281. The reversal of 8270603658240 is 428563060728.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5869838656 + ... + 5869840064.

Almost surely, 2^{8270603658240} is an apocalyptic number.

8270603658240 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 8270603658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16820257953600).

8270603658240 is an abundant number, since it is smaller than the sum of its proper divisors (25369912248960).

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

8270603658240 is a wasteful number, since it uses less digits than its factorization.

8270603658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 8270603658240 in words is "eight trillion, two hundred seventy billion, six hundred three million, six hundred fifty-eight thousand, two hundred forty".