9742578001 has 8 divisors (see below), whose sum is σ = 10494454824. Its totient is φ = 8991050880.

The previous prime is 9742577953. The next prime is 9742578023. The reversal of 9742578001 is 1008752479.

It can be written as a sum of positive squares in 4 ways, for example, as 1290533776 + 8452044225 = 35924^2 + 91935^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9742578001 - 2¹⁷ = 9742446929 is a prime.

It is a super-2 number, since 2×9742578001² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9742578401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28060 + ... + 142381.

It is an arithmetic number, because the mean of its divisors is an integer number (1311806853).

Almost surely, 2^9742578001 is an apocalyptic number.

It is an amenable number.

9742578001 is a deficient number, since it is larger than the sum of its proper divisors (751876823).

9742578001 is a wasteful number, since it uses less digits than its factorization.

9742578001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174851.

The product of its (nonzero) digits is 141120, while the sum is 43.

The square root of 9742578001 is about 98704.4983827991. The cubic root of 9742578001 is about 2135.7871234387.

The spelling of 9742578001 in words is "nine billion, seven hundred forty-two million, five hundred seventy-eight thousand, one".