6098624064 has 336 divisors, whose sum is σ = 20809256832. Its totient is φ = 1688518656.

The previous prime is 6098624039. The next prime is 6098624101. The reversal of 6098624064 is 4604268906.

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, 2926767 + ... + 2928849.

It is an arithmetic number, because the mean of its divisors is an integer number (61932312).

Almost surely, 2^6098624064 is an apocalyptic number.

6098624064 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 6098624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10404628416).

6098624064 is an abundant number, since it is smaller than the sum of its proper divisors (14710632768).

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

6098624064 is a wasteful number, since it uses less digits than its factorization.

6098624064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6098624064 is about 78093.6877346691. The cubic root of 6098624064 is about 1827.0227464559.

The spelling of 6098624064 in words is "six billion, ninety-eight million, six hundred twenty-four thousand, sixty-four".