7271154066960 has 1280 divisors, whose sum is σ = 30108472934400. Its totient is φ = 1598300190720.

The previous prime is 7271154066959. The next prime is 7271154066973. The reversal of 7271154066960 is 696604511727.

7271154066960 is a `hidden beast` number, since 7 + 2 + 7 + 1 + 1 + 540 + 6 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7271154066897 and 7271154066906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3396147490 + ... + 3396149630.

It is an arithmetic number, because the mean of its divisors is an integer number (23522244480).

Almost surely, 2^{7271154066960} is an apocalyptic number.

7271154066960 is a gapful number since it is divisible by the number (70) 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 7271154066960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054236467200).

7271154066960 is an abundant number, since it is smaller than the sum of its proper divisors (22837318867440).

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

7271154066960 is a wasteful number, since it uses less digits than its factorization.

7271154066960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 7271154066960 in words is "seven trillion, two hundred seventy-one billion, one hundred fifty-four million, sixty-six thousand, nine hundred sixty".