42647764396032 has 576 divisors, whose sum is σ = 131778733282560. Its totient is φ = 13240944820224.

The previous prime is 42647764396019. The next prime is 42647764396087. The reversal of 42647764396032 is 23069346774624.

42647764396032 is a `hidden beast` number, since 4 + 2 + 6 + 47 + 76 + 439 + 60 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15754621623 + ... + 15754624329.

It is an arithmetic number, because the mean of its divisors is an integer number (228782523060).

Almost surely, 2^{42647764396032} 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 42647764396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65889366641280).

42647764396032 is an abundant number, since it is smaller than the sum of its proper divisors (89130968886528).

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

42647764396032 is a wasteful number, since it uses less digits than its factorization.

42647764396032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 63.

The spelling of 42647764396032 in words is "forty-two trillion, six hundred forty-seven billion, seven hundred sixty-four million, three hundred ninety-six thousand, thirty-two".