79129749600 has 432 divisors, whose sum is σ = 308275269120. Its totient is φ = 18938649600.

The previous prime is 79129749583. The next prime is 79129749617. The reversal of 79129749600 is 694792197.

79129749600 is a `hidden beast` number, since 7 + 9 + 1 + 29 + 7 + 4 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (79129749583) and next prime (79129749617).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6250477 + ... + 6263123.

It is an arithmetic number, because the mean of its divisors is an integer number (713600160).

Almost surely, 2^79129749600 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 79129749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154137634560).

79129749600 is an abundant number, since it is smaller than the sum of its proper divisors (229145519520).

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

79129749600 is a wasteful number, since it uses less digits than its factorization.

79129749600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12763 (or 12747 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 79129749600 in words is "seventy-nine billion, one hundred twenty-nine million, seven hundred forty-nine thousand, six hundred".