6154040800 has 144 divisors (see below), whose sum is σ = 16059753360. Its totient is φ = 2294620160.

The previous prime is 6154040791. The next prime is 6154040821. The reversal of 6154040800 is 80404516.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1453086 + ... + 1457314.

It is an arithmetic number, because the mean of its divisors is an integer number (111526065).

Almost surely, 2^6154040800 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 6154040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8029876680).

6154040800 is an abundant number, since it is smaller than the sum of its proper divisors (9905712560).

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

6154040800 is a wasteful number, since it uses less digits than its factorization.

6154040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 6154040800 is about 78447.6946761344. The cubic root of 6154040800 is about 1832.5399748208.

The spelling of 6154040800 in words is "six billion, one hundred fifty-four million, forty thousand, eight hundred".