726135943680 has 1440 divisors, whose sum is σ = 3171644251776. Its totient is φ = 155940028416.

The previous prime is 726135943679. The next prime is 726135943733. The reversal of 726135943680 is 86349531627.

726135943680 is a `hidden beast` number, since 7 + 2 + 6 + 13 + 594 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1258467552 + ... + 1258468128.

It is a 1-persistent number, because it is pandigital, but 2⋅726135943680 = 1452271887360 is not.

Almost surely, 2^726135943680 is an apocalyptic number.

726135943680 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 726135943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585822125888).

726135943680 is an abundant number, since it is smaller than the sum of its proper divisors (2445508308096).

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

726135943680 is an equidigital number, since it uses as much as digits as its factorization.

726135943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 726135943680 in words is "seven hundred twenty-six billion, one hundred thirty-five million, nine hundred forty-three thousand, six hundred eighty".