9435378960 has 240 divisors, whose sum is σ = 37555679616. Its totient is φ = 2156626944.

The previous prime is 9435378949. The next prime is 9435378989. The reversal of 9435378960 is 698735349.

9435378960 is a `hidden beast` number, since 9 + 43 + 537 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×9435378960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9435378897 and 9435378906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101412 + ... + 170748.

Almost surely, 2^9435378960 is an apocalyptic number.

9435378960 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 9435378960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18777839808).

9435378960 is an abundant number, since it is smaller than the sum of its proper divisors (28120300656).

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

9435378960 is a wasteful number, since it uses less digits than its factorization.

9435378960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69372 (or 69354 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 9435378960 is about 97135.8788501962. The cubic root of 9435378960 is about 2113.0986987418.

The spelling of 9435378960 in words is "nine billion, four hundred thirty-five million, three hundred seventy-eight thousand, nine hundred sixty".