79361985600 has 840 divisors, whose sum is σ = 302518450080. Its totient is φ = 20397588480.

The previous prime is 79361985589. The next prime is 79361985601. The reversal of 79361985600 is 658916397.

79361985600 is a `hidden beast` number, since 79 + 3 + 6 + 1 + 9 + 8 + 560 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (79361985601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 741700747 + ... + 741700853.

It is an arithmetic number, because the mean of its divisors is an integer number (360141012).

Almost surely, 2^79361985600 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 79361985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151259225040).

79361985600 is an abundant number, since it is smaller than the sum of its proper divisors (223156464480).

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

79361985600 is a wasteful number, since it uses less digits than its factorization.

79361985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 79361985600 in words is "seventy-nine billion, three hundred sixty-one million, nine hundred eighty-five thousand, six hundred".