9379121760 has 192 divisors, whose sum is σ = 33277728960. Its totient is φ = 2466754560.

The previous prime is 9379121743. The next prime is 9379121767. The reversal of 9379121760 is 671219739.

9379121760 is a `hidden beast` number, since 9 + 379 + 1 + 217 + 60 = 666.

It is a super-3 number, since 3×9379121760³ (a number of 31 digits) contains 333 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 (9379121767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300490 + ... + 330230.

It is an arithmetic number, because the mean of its divisors is an integer number (173321505).

Almost surely, 2^9379121760 is an apocalyptic number.

9379121760 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 9379121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16638864480).

9379121760 is an abundant number, since it is smaller than the sum of its proper divisors (23898607200).

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

9379121760 is a wasteful number, since it uses less digits than its factorization.

9379121760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29838 (or 29824 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 9379121760 is about 96845.8659933402. The cubic root of 9379121760 is about 2108.8906337141.

The spelling of 9379121760 in words is "nine billion, three hundred seventy-nine million, one hundred twenty-one thousand, seven hundred sixty".