79272541624320 has 1536 divisors, whose sum is σ = 321611472000000. Its totient is φ = 18344611676160.

The previous prime is 79272541624319. The next prime is 79272541624369. The reversal of 79272541624320 is 2342614527297.

79272541624320 is a `hidden beast` number, since 7 + 9 + 2 + 7 + 2 + 5 + 4 + 1 + 624 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7849538631 + ... + 7849548729.

It is an arithmetic number, because the mean of its divisors is an integer number (209382468750).

Almost surely, 2^{79272541624320} 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 79272541624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160805736000000).

79272541624320 is an abundant number, since it is smaller than the sum of its proper divisors (242338930375680).

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

79272541624320 is a wasteful number, since it uses less digits than its factorization.

79272541624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10264 (or 10238 counting only the distinct ones).

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

The spelling of 79272541624320 in words is "seventy-nine trillion, two hundred seventy-two billion, five hundred forty-one million, six hundred twenty-four thousand, three hundred twenty".