736873666560 has 336 divisors, whose sum is σ = 2650911747120. Its totient is φ = 196497653760.

The previous prime is 736873666541. The next prime is 736873666597. The reversal of 736873666560 is 65666378637.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7415605 + ... + 7514315.

It is an arithmetic number, because the mean of its divisors is an integer number (7889618295).

Almost surely, 2^736873666560 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 736873666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325455873560).

736873666560 is an abundant number, since it is smaller than the sum of its proper divisors (1914038080560).

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

736873666560 is an frugal number, since it uses more digits than its factorization.

736873666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98756 (or 98721 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 736873666560 in words is "seven hundred thirty-six billion, eight hundred seventy-three million, six hundred sixty-six thousand, five hundred sixty".