73414978560 has 1760 divisors, whose sum is σ = 348109217280. Its totient is φ = 14452162560.

The previous prime is 73414978543. The next prime is 73414978591. The reversal of 73414978560 is 6587941437.

73414978560 is a `hidden beast` number, since 7 + 3 + 4 + 1 + 4 + 9 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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 = 73414978497 and 73414978506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3863946231 + ... + 3863946249.

It is an arithmetic number, because the mean of its divisors is an integer number (197789328).

Almost surely, 2^73414978560 is an apocalyptic number.

73414978560 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 73414978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174054608640).

73414978560 is an abundant number, since it is smaller than the sum of its proper divisors (274694238720).

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

73414978560 is a wasteful number, since it uses less digits than its factorization.

73414978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 73414978560 in words is "seventy-three billion, four hundred fourteen million, nine hundred seventy-eight thousand, five hundred sixty".