42767766720 has 336 divisors, whose sum is σ = 174346867968. Its totient is φ = 9775365120.

The previous prime is 42767766689. The next prime is 42767766721. The reversal of 42767766720 is 2766776724.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (42767766721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505035 + ... + 583605.

It is an arithmetic number, because the mean of its divisors is an integer number (518889488).

Almost surely, 2^42767766720 is an apocalyptic number.

42767766720 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 42767766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87173433984).

42767766720 is an abundant number, since it is smaller than the sum of its proper divisors (131579101248).

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

42767766720 is an equidigital number, since it uses as much as digits as its factorization.

42767766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78610 (or 78588 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 42767766720 in words is "forty-two billion, seven hundred sixty-seven million, seven hundred sixty-six thousand, seven hundred twenty".