79197749337600 has 360 divisors, whose sum is σ = 283451497521192. Its totient is φ = 21117565747200.

The previous prime is 79197749337583. The next prime is 79197749337601. The reversal of 79197749337600 is 673394779197.

79197749337600 is a `hidden beast` number, since 7 + 9 + 1 + 9 + 7 + 7 + 4 + 9 + 3 + 3 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79197749337601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1794909139 + ... + 1794953261.

Almost surely, 2^{79197749337600} 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 79197749337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141725748760596).

79197749337600 is an abundant number, since it is smaller than the sum of its proper divisors (204253748183592).

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

79197749337600 is a wasteful number, since it uses less digits than its factorization.

79197749337600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59738 (or 59714 counting only the distinct ones).

The product of its (nonzero) digits is 378071064, while the sum is 72.

The spelling of 79197749337600 in words is "seventy-nine trillion, one hundred ninety-seven billion, seven hundred forty-nine million, three hundred thirty-seven thousand, six hundred".