9187064640 has 336 divisors, whose sum is σ = 34615526400. Its totient is φ = 2222567424.

The previous prime is 9187064629. The next prime is 9187064647. The reversal of 9187064640 is 464607819.

9187064640 is a `hidden beast` number, since 9 + 187 + 0 + 6 + 464 + 0 = 666.

It is a super-4 number, since 4×9187064640⁴ (a number of 41 digits) contains 4444 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 not an unprimeable number, because it can be changed into a prime (9187064647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2206881 + ... + 2211039.

It is an arithmetic number, because the mean of its divisors is an integer number (103022400).

Almost surely, 2^9187064640 is an apocalyptic number.

9187064640 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 9187064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17307763200).

9187064640 is an abundant number, since it is smaller than the sum of its proper divisors (25428461760).

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

9187064640 is a wasteful number, since it uses less digits than its factorization.

9187064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9187064640 is about 95849.1765222842. The cubic root of 9187064640 is about 2094.3965992370.

The spelling of 9187064640 in words is "nine billion, one hundred eighty-seven million, sixty-four thousand, six hundred forty".