6132576000 has 288 divisors, whose sum is σ = 20570554368. Its totient is φ = 1619251200.

The previous prime is 6132575963. The next prime is 6132576011. The reversal of 6132576000 is 6752316.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12191749 + ... + 12192251.

It is an arithmetic number, because the mean of its divisors is an integer number (71425536).

Almost surely, 2^6132576000 is an apocalyptic number.

6132576000 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 6132576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285277184).

6132576000 is an abundant number, since it is smaller than the sum of its proper divisors (14437978368).

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

6132576000 is a wasteful number, since it uses less digits than its factorization.

6132576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 6132576000 is about 78310.7655434424. The cubic root of 6132576000 is about 1830.4069088285.

The spelling of 6132576000 in words is "six billion, one hundred thirty-two million, five hundred seventy-six thousand".