7641832479120 has 960 divisors, whose sum is σ = 30929782867200. Its totient is φ = 1729073848320.

The previous prime is 7641832479077. The next prime is 7641832479131. The reversal of 7641832479120 is 219742381467.

7641832479120 is a `hidden beast` number, since 7 + 6 + 4 + 18 + 32 + 479 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7664826462 + ... + 7664827458.

It is an arithmetic number, because the mean of its divisors is an integer number (32218523820).

Almost surely, 2^{7641832479120} is an apocalyptic number.

7641832479120 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 7641832479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15464891433600).

7641832479120 is an abundant number, since it is smaller than the sum of its proper divisors (23287950388080).

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

7641832479120 is a wasteful number, since it uses less digits than its factorization.

7641832479120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 7641832479120 in words is "seven trillion, six hundred forty-one billion, eight hundred thirty-two million, four hundred seventy-nine thousand, one hundred twenty".