6164855424 has 576 divisors, whose sum is σ = 23025300480. Its totient is φ = 1567641600.

The previous prime is 6164855377. The next prime is 6164855429. The reversal of 6164855424 is 4245584616.

It is a happy number.

6164855424 is a `hidden beast` number, since 61 + 6 + 48 + 5 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 6164855424.

It is not an unprimeable number, because it can be changed into a prime (6164855429) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22748409 + ... + 22748679.

It is an arithmetic number, because the mean of its divisors is an integer number (39974480).

Almost surely, 2^6164855424 is an apocalyptic number.

6164855424 is a gapful number since it is divisible by the number (64) 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 6164855424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11512650240).

6164855424 is an abundant number, since it is smaller than the sum of its proper divisors (16860445056).

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

6164855424 is a wasteful number, since it uses less digits than its factorization.

6164855424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 327 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 6164855424 is about 78516.5933035814. The cubic root of 6164855424 is about 1833.6128001811.

The spelling of 6164855424 in words is "six billion, one hundred sixty-four million, eight hundred fifty-five thousand, four hundred twenty-four".