6146928000 has 896 divisors, whose sum is σ = 25044215040. Its totient is φ = 1492992000.

The previous prime is 6146927999. The next prime is 6146928037. The reversal of 6146928000 is 8296416.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 198287985 + ... + 198288015.

Almost surely, 2^6146928000 is an apocalyptic number.

6146928000 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 6146928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12522107520).

6146928000 is an abundant number, since it is smaller than the sum of its proper divisors (18897287040).

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

6146928000 is an equidigital number, since it uses as much as digits as its factorization.

6146928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6146928000 is about 78402.3469036482. The cubic root of 6146928000 is about 1831.8336900825.

The spelling of 6146928000 in words is "six billion, one hundred forty-six million, nine hundred twenty-eight thousand".