6151680000 has 520 divisors, whose sum is σ = 23029815600. Its totient is φ = 1622016000.

The previous prime is 6151679983. The next prime is 6151680001. The reversal of 6151680000 is 861516.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6151680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69119956 + ... + 69120044.

Almost surely, 2^6151680000 is an apocalyptic number.

6151680000 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 6151680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11514907800).

6151680000 is an abundant number, since it is smaller than the sum of its proper divisors (16878135600).

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

6151680000 is an frugal number, since it uses more digits than its factorization.

6151680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 6151680000 is about 78432.6462641673. The cubic root of 6151680000 is about 1832.3056131582.

The spelling of 6151680000 in words is "six billion, one hundred fifty-one million, six hundred eighty thousand".