6000995147400 has 288 divisors, whose sum is σ = 22021728019200. Its totient is φ = 1452387110400.

The previous prime is 6000995147281. The next prime is 6000995147429. The reversal of 6000995147400 is 47415990006.

6000995147400 is a `hidden beast` number, since 6 + 0 + 0 + 0 + 99 + 514 + 7 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11768946 + ... + 12268254.

It is an arithmetic number, because the mean of its divisors is an integer number (76464333400).

Almost surely, 2^{6000995147400} is an apocalyptic number.

6000995147400 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 6000995147400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11010864009600).

6000995147400 is an abundant number, since it is smaller than the sum of its proper divisors (16020732871800).

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

6000995147400 is a wasteful number, since it uses less digits than its factorization.

6000995147400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499949 (or 499937 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 6000995147400 in words is "six trillion, nine hundred ninety-five million, one hundred forty-seven thousand, four hundred".