7161209475840 has 648 divisors, whose sum is σ = 29252607274800. Its totient is φ = 1612408799232.

The previous prime is 7161209475811. The next prime is 7161209475851. The reversal of 7161209475840 is 485749021617.

7161209475840 is a `hidden beast` number, since 7 + 1 + 6 + 12 + 0 + 9 + 47 + 584 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37725486 + ... + 37914834.

Almost surely, 2^{7161209475840} is an apocalyptic number.

7161209475840 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 7161209475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14626303637400).

7161209475840 is an abundant number, since it is smaller than the sum of its proper divisors (22091397798960).

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

7161209475840 is a wasteful number, since it uses less digits than its factorization.

7161209475840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189457 (or 189433 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 7161209475840 in words is "seven trillion, one hundred sixty-one billion, two hundred nine million, four hundred seventy-five thousand, eight hundred forty".