73979343360 has 1280 divisors, whose sum is σ = 311830041600. Its totient is φ = 16449011712.

The previous prime is 73979343289. The next prime is 73979343433. The reversal of 73979343360 is 6334397937.

73979343360 is a `hidden beast` number, since 73 + 97 + 93 + 43 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 73979343297 and 73979343306.

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, 442989997 + ... + 442990163.

It is an arithmetic number, because the mean of its divisors is an integer number (243617220).

Almost surely, 2^73979343360 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 73979343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155915020800).

73979343360 is an abundant number, since it is smaller than the sum of its proper divisors (237850698240).

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

73979343360 is a wasteful number, since it uses less digits than its factorization.

73979343360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 54.

The spelling of 73979343360 in words is "seventy-three billion, nine hundred seventy-nine million, three hundred forty-three thousand, three hundred sixty".