6164049920 has 416 divisors, whose sum is σ = 18620436480. Its totient is φ = 1911029760.

The previous prime is 6164049917. The next prime is 6164049929. The reversal of 6164049920 is 299404616.

It is a super-2 number, since 2×6164049920² = 75991022832504012800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6164049929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84439004 + ... + 84439076.

Almost surely, 2^6164049920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6164049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9310218240).

6164049920 is an abundant number, since it is smaller than the sum of its proper divisors (12456386560).

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

6164049920 is a wasteful number, since it uses less digits than its factorization.

6164049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 6164049920 is about 78511.4636215629. The cubic root of 6164049920 is about 1833.5329363575.

The spelling of 6164049920 in words is "six billion, one hundred sixty-four million, forty-nine thousand, nine hundred twenty".