6132672000 has 1200 divisors, whose sum is σ = 28270056672. Its totient is φ = 1293926400.

The previous prime is 6132671981. The next prime is 6132672019. The reversal of 6132672000 is 2762316.

It is a happy number.

6132672000 is a `hidden beast` number, since 613 + 26 + 7 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6132671981) and next prime (6132672019).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 471743994 + ... + 471744006.

Almost surely, 2^6132672000 is an apocalyptic number.

6132672000 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 6132672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14135028336).

6132672000 is an abundant number, since it is smaller than the sum of its proper divisors (22137384672).

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

6132672000 is an equidigital number, since it uses as much as digits as its factorization.

6132672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6132672000 is about 78311.3784835895. The cubic root of 6132672000 is about 1830.4164599071.

The spelling of 6132672000 in words is "six billion, one hundred thirty-two million, six hundred seventy-two thousand".