7271566587648 has 720 divisors, whose sum is σ = 23961160667136. Its totient is φ = 2184038277120.

The previous prime is 7271566587619. The next prime is 7271566587671. The reversal of 7271566587648 is 8467856651727.

7271566587648 is a `hidden beast` number, since 7 + 2 + 7 + 1 + 566 + 58 + 7 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (948326400) is a multiple of the sum of its prime divisors (1176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7039270140 + ... + 7039271172.

Almost surely, 2^{7271566587648} 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 7271566587648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11980580333568).

7271566587648 is an abundant number, since it is smaller than the sum of its proper divisors (16689594079488).

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

7271566587648 is an equidigital number, since it uses as much as digits as its factorization.

7271566587648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1176 counting only the distinct ones).

The product of its digits is 948326400, while the sum is 72.

The spelling of 7271566587648 in words is "seven trillion, two hundred seventy-one billion, five hundred sixty-six million, five hundred eighty-seven thousand, six hundred forty-eight".