42647166720 has 432 divisors, whose sum is σ = 156207647232. Its totient is φ = 10720174080.

The previous prime is 42647166641. The next prime is 42647166787. The reversal of 42647166720 is 2766174624.

42647166720 is a `hidden beast` number, since 426 + 47 + 166 + 7 + 20 = 666.

42647166720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18811027 + ... + 18813293.

It is an arithmetic number, because the mean of its divisors is an integer number (361591776).

Almost surely, 2^42647166720 is an apocalyptic number.

42647166720 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 42647166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78103823616).

42647166720 is an abundant number, since it is smaller than the sum of its proper divisors (113560480512).

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

42647166720 is a wasteful number, since it uses less digits than its factorization.

42647166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 42647166720 in words is "forty-two billion, six hundred forty-seven million, one hundred sixty-six thousand, seven hundred twenty".