6150806640 has 240 divisors, whose sum is σ = 22917997440. Its totient is φ = 1465720320.

The previous prime is 6150806639. The next prime is 6150806647. The reversal of 6150806640 is 466080516.

6150806640 is a `hidden beast` number, since 6 + 1 + 5 + 0 + 8 + 0 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 6150806595 and 6150806604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6150806647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 460699 + ... + 473861.

It is an arithmetic number, because the mean of its divisors is an integer number (95491656).

Almost surely, 2^6150806640 is an apocalyptic number.

6150806640 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 6150806640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11458998720).

6150806640 is an abundant number, since it is smaller than the sum of its proper divisors (16767190800).

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

6150806640 is a wasteful number, since it uses less digits than its factorization.

6150806640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13252 (or 13243 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6150806640 is about 78427.0784869614. The cubic root of 6150806640 is about 1832.2188976503.

The spelling of 6150806640 in words is "six billion, one hundred fifty million, eight hundred six thousand, six hundred forty".