42706759680 has 624 divisors, whose sum is σ = 164764913760. Its totient is φ = 10489430016.

The previous prime is 42706759657. The next prime is 42706759721. The reversal of 42706759680 is 8695760724.

42706759680 is a `hidden beast` number, since 42 + 7 + 0 + 6 + 7 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93450012 + ... + 93450468.

Almost surely, 2^42706759680 is an apocalyptic number.

42706759680 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 42706759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82382456880).

42706759680 is an abundant number, since it is smaller than the sum of its proper divisors (122058154080).

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

42706759680 is a wasteful number, since it uses less digits than its factorization.

42706759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 42706759680 in words is "forty-two billion, seven hundred six million, seven hundred fifty-nine thousand, six hundred eighty".