79349760000 has 1200 divisors, whose sum is σ = 343943402880. Its totient is φ = 17694720000.

The previous prime is 79349759977. The next prime is 79349760013. The reversal of 79349760000 is 6794397.

79349760000 is a `hidden beast` number, since 7 + 9 + 34 + 9 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1935359980 + ... + 1935360020.

Almost surely, 2^79349760000 is an apocalyptic number.

79349760000 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 79349760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171971701440).

79349760000 is an abundant number, since it is smaller than the sum of its proper divisors (264593642880).

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

79349760000 is an frugal number, since it uses more digits than its factorization.

79349760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 79349760000 in words is "seventy-nine billion, three hundred forty-nine million, seven hundred sixty thousand".