42747326100864 has 768 divisors, whose sum is σ = 163952381376000. Its totient is φ = 10720311275520.

The previous prime is 42747326100803. The next prime is 42747326100929. The reversal of 42747326100864 is 46800162374724.

42747326100864 is a `hidden beast` number, since 4 + 2 + 7 + 473 + 2 + 6 + 100 + 8 + 64 = 666.

42747326100864 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42747326100864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84637947 + ... + 85141509.

It is an arithmetic number, because the mean of its divisors is an integer number (213479663250).

Almost surely, 2^{42747326100864} is an apocalyptic number.

42747326100864 is a gapful number since it is divisible by the number (44) 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 42747326100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81976190688000).

42747326100864 is an abundant number, since it is smaller than the sum of its proper divisors (121205055275136).

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

42747326100864 is a wasteful number, since it uses less digits than its factorization.

42747326100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503644 (or 503615 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 42747326100864 in words is "forty-two trillion, seven hundred forty-seven billion, three hundred twenty-six million, one hundred thousand, eight hundred sixty-four".