9357920640 has 384 divisors, whose sum is σ = 34447252320. Its totient is φ = 2332753920.

The previous prime is 9357920633. The next prime is 9357920669. The reversal of 9357920640 is 460297539.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 22227630 + ... + 22228050.

Almost surely, 2^9357920640 is an apocalyptic number.

9357920640 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 9357920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17223626160).

9357920640 is an abundant number, since it is smaller than the sum of its proper divisors (25089331680).

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

9357920640 is a wasteful number, since it uses less digits than its factorization.

9357920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 675 counting only the distinct ones).

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

The square root of 9357920640 is about 96736.3460132747. The cubic root of 9357920640 is about 2107.3004146467.

The spelling of 9357920640 in words is "nine billion, three hundred fifty-seven million, nine hundred twenty thousand, six hundred forty".