6190742135200 has 576 divisors, whose sum is σ = 18389063024640. Its totient is φ = 1990582272000.

The previous prime is 6190742135183. The next prime is 6190742135269. The reversal of 6190742135200 is 25312470916.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 727206144 + ... + 727214656.

It is an arithmetic number, because the mean of its divisors is an integer number (31925456640).

Almost surely, 2^{6190742135200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6190742135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194531512320).

6190742135200 is an abundant number, since it is smaller than the sum of its proper divisors (12198320889440).

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

6190742135200 is a wasteful number, since it uses less digits than its factorization.

6190742135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8701 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 6190742135200 in words is "six trillion, one hundred ninety billion, seven hundred forty-two million, one hundred thirty-five thousand, two hundred".