6924804480 has 512 divisors, whose sum is σ = 28341964800. Its totient is φ = 1579253760.

The previous prime is 6924804479. The next prime is 6924804529. The reversal of 6924804480 is 844084296.

6924804480 is a `hidden beast` number, since 6 + 92 + 4 + 80 + 4 + 480 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3230289 + ... + 3232431.

It is an arithmetic number, because the mean of its divisors is an integer number (55355400).

Almost surely, 2^6924804480 is an apocalyptic number.

6924804480 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 6924804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170982400).

6924804480 is an abundant number, since it is smaller than the sum of its proper divisors (21417160320).

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

6924804480 is a wasteful number, since it uses less digits than its factorization.

6924804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6924804480 is about 83215.4101113490. The cubic root of 6924804480 is about 1906.0568009448.

The spelling of 6924804480 in words is "six billion, nine hundred twenty-four million, eight hundred four thousand, four hundred eighty".