9142684920 has 384 divisors, whose sum is σ = 32945356800. Its totient is φ = 2250927360.

The previous prime is 9142684883. The next prime is 9142684921. The reversal of 9142684920 is 294862419.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9142684921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23871049 + ... + 23871431.

It is an arithmetic number, because the mean of its divisors is an integer number (85795200).

Almost surely, 2^9142684920 is an apocalyptic number.

9142684920 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 9142684920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472678400).

9142684920 is an abundant number, since it is smaller than the sum of its proper divisors (23802671880).

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

9142684920 is a wasteful number, since it uses less digits than its factorization.

9142684920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9142684920 is about 95617.3881676340. The cubic root of 9142684920 is about 2091.0187047146.

The spelling of 9142684920 in words is "nine billion, one hundred forty-two million, six hundred eighty-four thousand, nine hundred twenty".