9359400960 has 1120 divisors, whose sum is σ = 42628303872. Its totient is φ = 1911029760.

The previous prime is 9359400943. The next prime is 9359400997. The reversal of 9359400960 is 690049539.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-3 number, since 3×9359400960³ (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301916145 + ... + 301916175.

Almost surely, 2^9359400960 is an apocalyptic number.

9359400960 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 9359400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21314151936).

9359400960 is an abundant number, since it is smaller than the sum of its proper divisors (33268902912).

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

9359400960 is a wasteful number, since it uses less digits than its factorization.

9359400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 9359400960 is about 96743.9970230712. The cubic root of 9359400960 is about 2107.4115260284.

The spelling of 9359400960 in words is "nine billion, three hundred fifty-nine million, four hundred thousand, nine hundred sixty".