79941104640 has 1056 divisors, whose sum is σ = 318667789440. Its totient is φ = 18402508800.

The previous prime is 79941104629. The next prime is 79941104647. The reversal of 79941104640 is 4640114997.

79941104640 is a `hidden beast` number, since 79 + 9 + 4 + 110 + 464 + 0 = 666.

It is a super-2 number, since 2×79941104640² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79941104647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 610237375 + ... + 610237505.

It is an arithmetic number, because the mean of its divisors is an integer number (301768740).

Almost surely, 2^79941104640 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 79941104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159333894720).

79941104640 is an abundant number, since it is smaller than the sum of its proper divisors (238726684800).

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

79941104640 is a wasteful number, since it uses less digits than its factorization.

79941104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 79941104640 in words is "seventy-nine billion, nine hundred forty-one million, one hundred four thousand, six hundred forty".