79638244761600 has 1344 divisors, whose sum is σ = 351977929113600. Its totient is φ = 17244814049280.

The previous prime is 79638244761557. The next prime is 79638244761653. The reversal of 79638244761600 is 616744283697.

It is a happy number.

79638244761600 is a `hidden beast` number, since 7 + 9 + 6 + 3 + 8 + 2 + 4 + 4 + 7 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 735382657 + ... + 735490943.

Almost surely, 2^{79638244761600} is an apocalyptic number.

79638244761600 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 79638244761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175988964556800).

79638244761600 is an abundant number, since it is smaller than the sum of its proper divisors (272339684352000).

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

79638244761600 is a wasteful number, since it uses less digits than its factorization.

79638244761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108358 (or 108323 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 79638244761600 in words is "seventy-nine trillion, six hundred thirty-eight billion, two hundred forty-four million, seven hundred sixty-one thousand, six hundred".