79612416000 has 832 divisors, whose sum is σ = 317711197440. Its totient is φ = 19552665600.

The previous prime is 79612415999. The next prime is 79612416007. The reversal of 79612416000 is 61421697.

79612416000 is a `hidden beast` number, since 7 + 9 + 6 + 1 + 2 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79612416007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179711779 + ... + 179712221.

It is an arithmetic number, because the mean of its divisors is an integer number (381864420).

Almost surely, 2^79612416000 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 79612416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158855598720).

79612416000 is an abundant number, since it is smaller than the sum of its proper divisors (238098781440).

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

79612416000 is a wasteful number, since it uses less digits than its factorization.

79612416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 79612416000 its reverse (61421697), we get a palindrome (79673837697).

The spelling of 79612416000 in words is "seventy-nine billion, six hundred twelve million, four hundred sixteen thousand".