42616529568 has 96 divisors (see below), whose sum is σ = 124381293120. Its totient is φ = 14196015360.

The previous prime is 42616529513. The next prime is 42616529597. The reversal of 42616529568 is 86592561624.

42616529568 is a `hidden beast` number, since 4 + 2 + 61 + 6 + 529 + 56 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341646 + ... + 1373042.

It is an arithmetic number, because the mean of its divisors is an integer number (1295638470).

Almost surely, 2^42616529568 is an apocalyptic number.

42616529568 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 42616529568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62190646560).

42616529568 is an abundant number, since it is smaller than the sum of its proper divisors (81764763552).

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

42616529568 is a wasteful number, since it uses less digits than its factorization.

42616529568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32987 (or 32973 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 42616529568 in words is "forty-two billion, six hundred sixteen million, five hundred twenty-nine thousand, five hundred sixty-eight".