6013264400 has 360 divisors, whose sum is σ = 18036970560. Its totient is φ = 1908403200.

The previous prime is 6013264333. The next prime is 6013264421. The reversal of 6013264400 is 44623106.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 6013264400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11954549 + ... + 11955051.

It is an arithmetic number, because the mean of its divisors is an integer number (50102696).

Almost surely, 2^6013264400 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 6013264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9018485280).

6013264400 is an abundant number, since it is smaller than the sum of its proper divisors (12023706160).

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

6013264400 is a wasteful number, since it uses less digits than its factorization.

6013264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 6013264400 is about 77545.2409887286. The cubic root of 6013264400 is about 1818.4586636319.

Adding to 6013264400 its reverse (44623106), we get a palindrome (6057887506).

The spelling of 6013264400 in words is "six billion, thirteen million, two hundred sixty-four thousand, four hundred".