6150947040 has 576 divisors, whose sum is σ = 25655325696. Its totient is φ = 1311399936.

The previous prime is 6150947027. The next prime is 6150947071. The reversal of 6150947040 is 407490516.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6150946986 and 6150947004.

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 95 ways as a sum of consecutive naturals, for example, 9968812 + ... + 9969428.

It is an arithmetic number, because the mean of its divisors is an integer number (44540496).

Almost surely, 2^6150947040 is an apocalyptic number.

6150947040 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 6150947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12827662848).

6150947040 is an abundant number, since it is smaller than the sum of its proper divisors (19504378656).

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

6150947040 is a wasteful number, since it uses less digits than its factorization.

6150947040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6150947040 is about 78427.9735808595. The cubic root of 6150947040 is about 1832.2328384546.

The spelling of 6150947040 in words is "six billion, one hundred fifty million, nine hundred forty-seven thousand, forty".