9400675680 has 288 divisors, whose sum is σ = 35092800288. Its totient is φ = 2272665600.

The previous prime is 9400675663. The next prime is 9400675681. The reversal of 9400675680 is 865760049.

It is a tau number, because it is divible by the number of its divisors (288).

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 (9400675681) 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, 8568892 + ... + 8569988.

It is an arithmetic number, because the mean of its divisors is an integer number (121850001).

Almost surely, 2^9400675680 is an apocalyptic number.

9400675680 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 9400675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17546400144).

9400675680 is an abundant number, since it is smaller than the sum of its proper divisors (25692124608).

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

9400675680 is a wasteful number, since it uses less digits than its factorization.

9400675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9400675680 is about 96957.0816392490. The cubic root of 9400675680 is about 2110.5048603622.

The spelling of 9400675680 in words is "nine billion, four hundred million, six hundred seventy-five thousand, six hundred eighty".