42786728769264 has 160 divisors (see below), whose sum is σ = 117901893795840. Its totient is φ = 13323916800000.

The previous prime is 42786728769259. The next prime is 42786728769277. The reversal of 42786728769264 is 46296782768724.

It is a super-2 number, since 2×42786728769264² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42786728769264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157457514 + ... + 157729014.

It is an arithmetic number, because the mean of its divisors is an integer number (736886836224).

Almost surely, 2^{42786728769264} 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 42786728769264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58950946897920).

42786728769264 is an abundant number, since it is smaller than the sum of its proper divisors (75115165026576).

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

42786728769264 is a wasteful number, since it uses less digits than its factorization.

42786728769264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272959 (or 272953 counting only the distinct ones).

The product of its digits is 5462360064, while the sum is 78.

The spelling of 42786728769264 in words is "forty-two trillion, seven hundred eighty-six billion, seven hundred twenty-eight million, seven hundred sixty-nine thousand, two hundred sixty-four".