9427008240 has 480 divisors, whose sum is σ = 35916701184. Its totient is φ = 2199674880.

The previous prime is 9427008203. The next prime is 9427008277. The reversal of 9427008240 is 428007249.

9427008240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9427008203) and next prime (9427008277).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 9427008195 and 9427008204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15378174 + ... + 15378786.

Almost surely, 2^9427008240 is an apocalyptic number.

9427008240 is a gapful number since it is divisible by the number (90) 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 9427008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17958350592).

9427008240 is an abundant number, since it is smaller than the sum of its proper divisors (26489692944).

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

9427008240 is a wasteful number, since it uses less digits than its factorization.

9427008240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 9427008240 is about 97092.7816060494. The cubic root of 9427008240 is about 2112.4736261311.

The spelling of 9427008240 in words is "nine billion, four hundred twenty-seven million, eight thousand, two hundred forty".