42954437568 has 224 divisors, whose sum is σ = 137212669440. Its totient is φ = 11585064960.

The previous prime is 42954437563. The next prime is 42954437597. The reversal of 42954437568 is 86573445924.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42954437563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7479178 + ... + 7484918.

It is an arithmetic number, because the mean of its divisors is an integer number (612556560).

Almost surely, 2^42954437568 is an apocalyptic number.

42954437568 is a gapful number since it is divisible by the number (48) 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 42954437568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68606334720).

42954437568 is an abundant number, since it is smaller than the sum of its proper divisors (94258231872).

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

42954437568 is a wasteful number, since it uses less digits than its factorization.

42954437568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6075 (or 6065 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 57.

The spelling of 42954437568 in words is "forty-two billion, nine hundred fifty-four million, four hundred thirty-seven thousand, five hundred sixty-eight".