79641042217488 has 240 divisors, whose sum is σ = 247032693288576. Its totient is φ = 23823705354240.

The previous prime is 79641042217483. The next prime is 79641042217493. The reversal of 79641042217488 is 88471224014697.

79641042217488 is a `hidden beast` number, since 7 + 9 + 6 + 410 + 42 + 2 + 174 + 8 + 8 = 666.

It is a Cunningham number, because it is equal to 8924183²-1.

It is an interprime number because it is at equal distance from previous prime (79641042217483) and next prime (79641042217493).

It is not an unprimeable number, because it can be changed into a prime (79641042217483) 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 47 ways as a sum of consecutive naturals, for example, 15617323 + ... + 20079413.

Almost surely, 2^{79641042217488} 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 79641042217488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123516346644288).

79641042217488 is an abundant number, since it is smaller than the sum of its proper divisors (167391651071088).

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

79641042217488 is a wasteful number, since it uses less digits than its factorization.

79641042217488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462462 (or 4462453 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 79641042217488 in words is "seventy-nine trillion, six hundred forty-one billion, forty-two million, two hundred seventeen thousand, four hundred eighty-eight".