79016454374400 has 495 divisors, whose sum is σ = 292636046128591. Its totient is φ = 21067641077760.

The previous prime is 79016454374323. The next prime is 79016454374437. The reversal of 79016454374400 is 447345461097.

The square root of 79016454374400 is 8889120.

It is a perfect power (a square), and thus also a powerful number.

79016454374400 is a `hidden beast` number, since 7 + 9 + 0 + 164 + 5 + 4 + 3 + 74 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43599292056576 + 35417162317824 = 6602976^2 + 5951232^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12800329714 + ... + 12800335886.

Almost surely, 2^{79016454374400} is an apocalyptic number.

79016454374400 is the 8889120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79016454374400

79016454374400 is an abundant number, since it is smaller than the sum of its proper divisors (213619591754191).

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

79016454374400 is an frugal number, since it uses more digits than its factorization.

79016454374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12388 (or 6183 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 79016454374400 in words is "seventy-nine trillion, sixteen billion, four hundred fifty-four million, three hundred seventy-four thousand, four hundred".