7161265520640 has 2016 divisors, whose sum is σ = 32537582977536. Its totient is φ = 1467670855680.

The previous prime is 7161265520599. The next prime is 7161265520671. The reversal of 7161265520640 is 460255621617.

7161265520640 is a `hidden beast` number, since 7 + 1 + 6 + 1 + 2 + 65 + 520 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 98099527644 + ... + 98099527716.

It is an arithmetic number, because the mean of its divisors is an integer number (16139674096).

Almost surely, 2^{7161265520640} is an apocalyptic number.

7161265520640 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 7161265520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16268791488768).

7161265520640 is an abundant number, since it is smaller than the sum of its proper divisors (25376317456896).

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

7161265520640 is an frugal number, since it uses more digits than its factorization.

7161265520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 7161265520640 in words is "seven trillion, one hundred sixty-one billion, two hundred sixty-five million, five hundred twenty thousand, six hundred forty".