6029622144 has 384 divisors, whose sum is σ = 21586219200. Its totient is φ = 1573060608.

The previous prime is 6029622121. The next prime is 6029622227. The reversal of 6029622144 is 4412269206.

6029622144 is a `hidden beast` number, since 6 + 0 + 29 + 622 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 6029622099 and 6029622108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11845762 + ... + 11846270.

Almost surely, 2^6029622144 is an apocalyptic number.

6029622144 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 6029622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10793109600).

6029622144 is an abundant number, since it is smaller than the sum of its proper divisors (15556597056).

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

6029622144 is a wasteful number, since it uses less digits than its factorization.

6029622144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6029622144 is about 77650.6416200150. The cubic root of 6029622144 is about 1820.1060744037.

The spelling of 6029622144 in words is "six billion, twenty-nine million, six hundred twenty-two thousand, one hundred forty-four".