9477750240 has 1152 divisors, whose sum is σ = 42796615680. Its totient is φ = 1857945600.

The previous prime is 9477750229. The next prime is 9477750263. The reversal of 9477750240 is 420577749.

It is a super-2 number, since 2×9477750240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133489405 + ... + 133489475.

It is an arithmetic number, because the mean of its divisors is an integer number (37149840).

Almost surely, 2^9477750240 is an apocalyptic number.

9477750240 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 9477750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398307840).

9477750240 is an abundant number, since it is smaller than the sum of its proper divisors (33318865440).

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

9477750240 is a wasteful number, since it uses less digits than its factorization.

9477750240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 9477750240 is about 97353.7376786326. The cubic root of 9477750240 is about 2116.2570599993.

The spelling of 9477750240 in words is "nine billion, four hundred seventy-seven million, seven hundred fifty thousand, two hundred forty".