9537378240 has 224 divisors, whose sum is σ = 32690165760. Its totient is φ = 2341933056.

The previous prime is 9537378211. The next prime is 9537378251. The reversal of 9537378240 is 428737359.

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 9537378240.

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, 7574731 + ... + 7575989.

It is an arithmetic number, because the mean of its divisors is an integer number (145938240).

Almost surely, 2^9537378240 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 9537378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345082880).

9537378240 is an abundant number, since it is smaller than the sum of its proper divisors (23152787520).

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

9537378240 is a wasteful number, since it uses less digits than its factorization.

9537378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 9537378240 is about 97659.5015346689. The cubic root of 9537378240 is about 2120.6858348262.

The spelling of 9537378240 in words is "nine billion, five hundred thirty-seven million, three hundred seventy-eight thousand, two hundred forty".