726161710428 has 576 divisors, whose sum is σ = 2425141555200. Its totient is φ = 184531944960.

The previous prime is 726161710409. The next prime is 726161710447. The reversal of 726161710428 is 824017161627.

726161710428 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 617 + 1 + 0 + 4 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (726161710409) and next prime (726161710447).

It is a super-4 number, since 4×726161710428⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 897603688 + ... + 897604496.

It is an arithmetic number, because the mean of its divisors is an integer number (4210315200).

Almost surely, 2^726161710428 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 726161710428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212570777600).

726161710428 is an abundant number, since it is smaller than the sum of its proper divisors (1698979844772).

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

726161710428 is a wasteful number, since it uses less digits than its factorization.

726161710428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 726161710428 in words is "seven hundred twenty-six billion, one hundred sixty-one million, seven hundred ten thousand, four hundred twenty-eight".