9406935720 has 1152 divisors, whose sum is σ = 43023052800. Its totient is φ = 1755758592.

The previous prime is 9406935689. The next prime is 9406935731. The reversal of 9406935720 is 275396049.

It is a happy number.

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 287 ways as a sum of consecutive naturals, for example, 74070297 + ... + 74070423.

It is an arithmetic number, because the mean of its divisors is an integer number (37346400).

Almost surely, 2^9406935720 is an apocalyptic number.

9406935720 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 9406935720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21511526400).

9406935720 is an abundant number, since it is smaller than the sum of its proper divisors (33616117080).

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

9406935720 is a wasteful number, since it uses less digits than its factorization.

9406935720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 9406935720 is about 96989.3587977568. The cubic root of 9406935720 is about 2110.9732278757.

The spelling of 9406935720 in words is "nine billion, four hundred six million, nine hundred thirty-five thousand, seven hundred twenty".