6191949600 has 432 divisors, whose sum is σ = 23032900800. Its totient is φ = 1562204160.

The previous prime is 6191949557. The next prime is 6191949607. The reversal of 6191949600 is 69491916.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (6191949607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23018266 + ... + 23018534.

It is an arithmetic number, because the mean of its divisors is an integer number (53316900).

Almost surely, 2^6191949600 is an apocalyptic number.

6191949600 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 6191949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11516450400).

6191949600 is an abundant number, since it is smaller than the sum of its proper divisors (16840951200).

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

6191949600 is a wasteful number, since it uses less digits than its factorization.

6191949600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 6191949600 is about 78688.9420439746. The cubic root of 6191949600 is about 1836.2950812263.

The spelling of 6191949600 in words is "six billion, one hundred ninety-one million, nine hundred forty-nine thousand, six hundred".