1613480064 has 384 divisors, whose sum is σ = 5451141120. Its totient is φ = 413614080.

The previous prime is 1613480039. The next prime is 1613480083. The reversal of 1613480064 is 4600843161.

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

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, 24081759 + ... + 24081825.

It is an arithmetic number, because the mean of its divisors is an integer number (14195680).

Almost surely, 2^1613480064 is an apocalyptic number.

1613480064 is a gapful number since it is divisible by the number (14) 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 1613480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725570560).

1613480064 is an abundant number, since it is smaller than the sum of its proper divisors (3837661056).

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

1613480064 is a wasteful number, since it uses less digits than its factorization.

1613480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1613480064 is about 40168.1473807294. The cubic root of 1613480064 is about 1172.8825759372.

The spelling of 1613480064 in words is "one billion, six hundred thirteen million, four hundred eighty thousand, sixty-four".