6150829616640 has 320 divisors, whose sum is σ = 22998172665600. Its totient is φ = 1553893466112.

The previous prime is 6150829616639. The next prime is 6150829616641. The reversal of 6150829616640 is 466169280516.

6150829616640 is a `hidden beast` number, since 6 + 1 + 508 + 2 + 96 + 1 + 6 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6150829616639) and next prime (6150829616641).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6150829616641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028502 + ... + 3655061.

It is an arithmetic number, because the mean of its divisors is an integer number (71869289580).

Almost surely, 2^{6150829616640} is an apocalyptic number.

6150829616640 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 6150829616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499086332800).

6150829616640 is an abundant number, since it is smaller than the sum of its proper divisors (16847343048960).

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

6150829616640 is a wasteful number, since it uses less digits than its factorization.

6150829616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683614 (or 4683592 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

It can be divided in two parts, 615082961 and 6640, that added together give a square (615089601 = 24801²).

The spelling of 6150829616640 in words is "six trillion, one hundred fifty billion, eight hundred twenty-nine million, six hundred sixteen thousand, six hundred forty".