6924345120 has 576 divisors, whose sum is σ = 29702889216. Its totient is φ = 1427005440.

The previous prime is 6924345091. The next prime is 6924345133. The reversal of 6924345120 is 215434296.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 21843202 + ... + 21843518.

It is an arithmetic number, because the mean of its divisors is an integer number (51567516).

Almost surely, 2^6924345120 is an apocalyptic number.

6924345120 is a gapful number since it is divisible by the number (60) 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 6924345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851444608).

6924345120 is an abundant number, since it is smaller than the sum of its proper divisors (22778544096).

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

6924345120 is a wasteful number, since it uses less digits than its factorization.

6924345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6924345120 is about 83212.6499998648. The cubic root of 6924345120 is about 1906.0146536363.

The spelling of 6924345120 in words is "six billion, nine hundred twenty-four million, three hundred forty-five thousand, one hundred twenty".