731495800080 has 320 divisors, whose sum is σ = 2544948184320. Its totient is φ = 193107124224.

The previous prime is 731495800067. The next prime is 731495800081. The reversal of 731495800080 is 80008594137.

731495800080 is a `hidden beast` number, since 7 + 3 + 1 + 495 + 80 + 0 + 0 + 80 = 666.

It is a super-2 number, since 2×731495800080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 731495799999 and 731495800035.

It is not an unprimeable number, because it can be changed into a prime (731495800081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319011414 + ... + 319013706.

It is an arithmetic number, because the mean of its divisors is an integer number (7952963076).

Almost surely, 2^731495800080 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 731495800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272474092160).

731495800080 is an abundant number, since it is smaller than the sum of its proper divisors (1813452384240).

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

731495800080 is a wasteful number, since it uses less digits than its factorization.

731495800080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 731495800080 in words is "seven hundred thirty-one billion, four hundred ninety-five million, eight hundred thousand, eighty".