642571001568 has 240 divisors, whose sum is σ = 1916979837696. Its totient is φ = 211119955200.

The previous prime is 642571001563. The next prime is 642571001593. The reversal of 642571001568 is 865100175246.

642571001568 is a `hidden beast` number, since 6 + 4 + 2 + 571 + 0 + 0 + 15 + 68 = 666.

It is a super-2 number, since 2×642571001568² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642571001563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99604743 + ... + 99611193.

Almost surely, 2^642571001568 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 642571001568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958489918848).

642571001568 is an abundant number, since it is smaller than the sum of its proper divisors (1274408836128).

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

642571001568 is a wasteful number, since it uses less digits than its factorization.

642571001568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 642571001568 in words is "six hundred forty-two billion, five hundred seventy-one million, one thousand, five hundred sixty-eight".