42769956960 has 480 divisors, whose sum is σ = 156134164032. Its totient is φ = 11019939840.

The previous prime is 42769956949. The next prime is 42769956997. The reversal of 42769956960 is 6965996724.

42769956960 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 9 + 9 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48768042 + ... + 48768918.

Almost surely, 2^42769956960 is an apocalyptic number.

42769956960 is a gapful number since it is divisible by the number (40) 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 42769956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78067082016).

42769956960 is an abundant number, since it is smaller than the sum of its proper divisors (113364207072).

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

42769956960 is a wasteful number, since it uses less digits than its factorization.

42769956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 42769956960 in words is "forty-two billion, seven hundred sixty-nine million, nine hundred fifty-six thousand, nine hundred sixty".