7955539141680 has 1920 divisors, whose sum is σ = 32433964093440. Its totient is φ = 1778053939200.

The previous prime is 7955539141663. The next prime is 7955539141687. The reversal of 7955539141680 is 861419355597.

7955539141680 is a `hidden beast` number, since 7 + 9 + 5 + 5 + 53 + 91 + 416 + 80 = 666.

It is a super-2 number, since 2×7955539141680² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7955539141687) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 52685689605 + ... + 52685689755.

It is an arithmetic number, because the mean of its divisors is an integer number (16892689632).

Almost surely, 2^{7955539141680} 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 7955539141680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216982046720).

7955539141680 is an abundant number, since it is smaller than the sum of its proper divisors (24478424951760).

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

7955539141680 is a wasteful number, since it uses less digits than its factorization.

7955539141680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 7955539141680 in words is "seven trillion, nine hundred fifty-five billion, five hundred thirty-nine million, one hundred forty-one thousand, six hundred eighty".