726142095360 has 832 divisors, whose sum is σ = 2907807621120. Its totient is φ = 170311680000.

The previous prime is 726142095359. The next prime is 726142095383. The reversal of 726142095360 is 63590241627.

726142095360 is a `hidden beast` number, since 7 + 2 + 614 + 20 + 9 + 5 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×726142095360² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188557435 + ... + 188561285.

Almost surely, 2^726142095360 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 726142095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453903810560).

726142095360 is an abundant number, since it is smaller than the sum of its proper divisors (2181665525760).

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

726142095360 is a wasteful number, since it uses less digits than its factorization.

726142095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 726142095360 in words is "seven hundred twenty-six billion, one hundred forty-two million, ninety-five thousand, three hundred sixty".