6151864320 has 432 divisors, whose sum is σ = 24536584800. Its totient is φ = 1396703232.

The previous prime is 6151864261. The next prime is 6151864331. The reversal of 6151864320 is 234681516.

It is a happy number.

6151864320 is a `hidden beast` number, since 6 + 1 + 5 + 1 + 8 + 643 + 2 + 0 = 666.

It is a super-2 number, since 2×6151864320² = 75690869223378124800, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 41287606 + ... + 41287754.

It is an arithmetic number, because the mean of its divisors is an integer number (56797650).

Almost surely, 2^6151864320 is an apocalyptic number.

6151864320 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 6151864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12268292400).

6151864320 is an abundant number, since it is smaller than the sum of its proper divisors (18384720480).

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

6151864320 is an equidigital number, since it uses as much as digits as its factorization.

6151864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

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

The square root of 6151864320 is about 78433.8212762836. The cubic root of 6151864320 is about 1832.3239131563.

The spelling of 6151864320 in words is "six billion, one hundred fifty-one million, eight hundred sixty-four thousand, three hundred twenty".