9642678240 has 192 divisors, whose sum is σ = 34133654016. Its totient is φ = 2270349312.

The previous prime is 9642678229. The next prime is 9642678313. The reversal of 9642678240 is 428762469.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9642678240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109927 + ... + 177113.

It is an arithmetic number, because the mean of its divisors is an integer number (177779448).

Almost surely, 2^9642678240 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 9642678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17066827008).

9642678240 is an abundant number, since it is smaller than the sum of its proper divisors (24490975776).

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

9642678240 is a wasteful number, since it uses less digits than its factorization.

9642678240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67241 (or 67233 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 9642678240 is about 98197.1396732104. The cubic root of 9642678240 is about 2128.4619547534.

The spelling of 9642678240 in words is "nine billion, six hundred forty-two million, six hundred seventy-eight thousand, two hundred forty".