6066278400 has 936 divisors, whose sum is σ = 25936506624. Its totient is φ = 1238630400.

The previous prime is 6066278381. The next prime is 6066278417. The reversal of 6066278400 is 48726606.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 195686385 + ... + 195686415.

Almost surely, 2^6066278400 is an apocalyptic number.

6066278400 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 6066278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968253312).

6066278400 is an abundant number, since it is smaller than the sum of its proper divisors (19870228224).

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

6066278400 is a wasteful number, since it uses less digits than its factorization.

6066278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 6066278400 is about 77886.3171551974. The cubic root of 6066278400 is about 1823.7869865126.

The spelling of 6066278400 in words is "six billion, sixty-six million, two hundred seventy-eight thousand, four hundred".