79546613760000 has 1800 divisors, whose sum is σ = 306248070692850. Its totient is φ = 20639121408000.

The previous prime is 79546613759993. The next prime is 79546613760083. The reversal of 79546613760000 is 6731664597.

It is a happy number.

79546613760000 is a `hidden beast` number, since 7 + 9 + 546 + 6 + 1 + 37 + 60 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 8670150918144 + 70876462841856 = 2944512^2 + 8418816^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 89 ways as a sum of consecutive naturals, for example, 2149908479982 + ... + 2149908480018.

Almost surely, 2^{79546613760000} 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 79546613760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153124035346425).

79546613760000 is an abundant number, since it is smaller than the sum of its proper divisors (226701456932850).

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

79546613760000 is an frugal number, since it uses more digits than its factorization.

79546613760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 79546613760000 in words is "seventy-nine trillion, five hundred forty-six billion, six hundred thirteen million, seven hundred sixty thousand".