6150950400 has 480 divisors, whose sum is σ = 23746694400. Its totient is φ = 1402920960.

The previous prime is 6150950371. The next prime is 6150950413. The reversal of 6150950400 is 40590516.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13170967 + ... + 13171433.

It is an arithmetic number, because the mean of its divisors is an integer number (49472280).

Almost surely, 2^6150950400 is an apocalyptic number.

6150950400 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 6150950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11873347200).

6150950400 is an abundant number, since it is smaller than the sum of its proper divisors (17595744000).

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

6150950400 is an equidigital number, since it uses as much as digits as its factorization.

6150950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 6150950400 is about 78427.9950017849. The cubic root of 6150950400 is about 1832.2331720781.

The spelling of 6150950400 in words is "six billion, one hundred fifty million, nine hundred fifty thousand, four hundred".