6029268480 has 320 divisors, whose sum is σ = 22548556800. Its totient is φ = 1522851840.

The previous prime is 6029268473. The next prime is 6029268481. The reversal of 6029268480 is 848629206.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6029268481) 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, 1310985 + ... + 1315575.

It is an arithmetic number, because the mean of its divisors is an integer number (70464240).

Almost surely, 2^6029268480 is an apocalyptic number.

6029268480 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 6029268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11274278400).

6029268480 is an abundant number, since it is smaller than the sum of its proper divisors (16519288320).

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

6029268480 is a wasteful number, since it uses less digits than its factorization.

6029268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6029268480 is about 77648.3643098810. The cubic root of 6029268480 is about 1820.0704879515.

The spelling of 6029268480 in words is "six billion, twenty-nine million, two hundred sixty-eight thousand, four hundred eighty".