9368835840 has 864 divisors, whose sum is σ = 41498236416. Its totient is φ = 1970749440.

The previous prime is 9368835809. The next prime is 9368835859. The reversal of 9368835840 is 485388639.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28304475 + ... + 28304805.

Almost surely, 2^9368835840 is an apocalyptic number.

9368835840 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 9368835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20749118208).

9368835840 is an abundant number, since it is smaller than the sum of its proper divisors (32129400576).

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

9368835840 is a wasteful number, since it uses less digits than its factorization.

9368835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 9368835840 is about 96792.7468357005. The cubic root of 9368835840 is about 2108.1194238062.

The spelling of 9368835840 in words is "nine billion, three hundred sixty-eight million, eight hundred thirty-five thousand, eight hundred forty".