73076981760 has 360 divisors, whose sum is σ = 262779806016. Its totient is φ = 19481886720.

The previous prime is 73076981759. The next prime is 73076981797. The reversal of 73076981760 is 6718967037.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 73076981697 and 73076981706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19904725 + ... + 19908395.

Almost surely, 2^73076981760 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 73076981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131389903008).

73076981760 is an abundant number, since it is smaller than the sum of its proper divisors (189702824256).

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

73076981760 is an frugal number, since it uses more digits than its factorization.

73076981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 73076981760 in words is "seventy-three billion, seventy-six million, nine hundred eighty-one thousand, seven hundred sixty".