731193946560 has 1680 divisors, whose sum is σ = 3329893670400. Its totient is φ = 150598103040.

The previous prime is 731193946559. The next prime is 731193946597. The reversal of 731193946560 is 65649391137.

731193946560 is a `hidden beast` number, since 7 + 3 + 1 + 1 + 9 + 39 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 = 731193946497 and 731193946506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2780204989 + ... + 2780205251.

Almost surely, 2^731193946560 is an apocalyptic number.

731193946560 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 731193946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664946835200).

731193946560 is an abundant number, since it is smaller than the sum of its proper divisors (2598699723840).

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

731193946560 is a wasteful number, since it uses less digits than its factorization.

731193946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

It can be divided in two parts, 73119 and 3946560, that added together give a cube (4019679 = 159³).

The spelling of 731193946560 in words is "seven hundred thirty-one billion, one hundred ninety-three million, nine hundred forty-six thousand, five hundred sixty".