960223586420736 has 576 divisors, whose sum is σ = 3109072168762560. Its totient is φ = 282989557186560.

The previous prime is 960223586420671. The next prime is 960223586420741. The reversal of 960223586420736 is 637024685322069.

960223586420736 is a `hidden beast` number, since 9 + 6 + 0 + 2 + 2 + 3 + 586 + 42 + 0 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×960223586420736² (a number of 31 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2031135940 + ... + 2031608636.

It is an arithmetic number, because the mean of its divisors is an integer number (5397694737435).

Almost surely, 2^{960223586420736} is an apocalyptic number.

960223586420736 is a gapful number since it is divisible by the number (96) 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 960223586420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554536084381280).

960223586420736 is an abundant number, since it is smaller than the sum of its proper divisors (2148848582341824).

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

960223586420736 is a wasteful number, since it uses less digits than its factorization.

960223586420736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473012 (or 472989 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 960223586420736 in words is "nine hundred sixty trillion, two hundred twenty-three billion, five hundred eighty-six million, four hundred twenty thousand, seven hundred thirty-six".