79545533760 has 2688 divisors, whose sum is σ = 400287744000. Its totient is φ = 14631321600.

The previous prime is 79545533759. The next prime is 79545533773. The reversal of 79545533760 is 6733554597.

79545533760 is a `hidden beast` number, since 7 + 9 + 5 + 45 + 533 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 79545533697 and 79545533706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2565984945 + ... + 2565984975.

Almost surely, 2^79545533760 is an apocalyptic number.

79545533760 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 79545533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200143872000).

79545533760 is an abundant number, since it is smaller than the sum of its proper divisors (320742210240).

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

79545533760 is a wasteful number, since it uses less digits than its factorization.

79545533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 79545533760 in words is "seventy-nine billion, five hundred forty-five million, five hundred thirty-three thousand, seven hundred sixty".