6157676800 has 216 divisors, whose sum is σ = 16989662592. Its totient is φ = 2190336000.

The previous prime is 6157676783. The next prime is 6157676809. The reversal of 6157676800 is 86767516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6157676809) 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 23 ways as a sum of consecutive naturals, for example, 3307870 + ... + 3309730.

Almost surely, 2^6157676800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6157676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494831296).

6157676800 is an abundant number, since it is smaller than the sum of its proper divisors (10831985792).

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

6157676800 is a wasteful number, since it uses less digits than its factorization.

6157676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 6157676800 is about 78470.8659312486. The cubic root of 6157676800 is about 1832.9008110982.

The spelling of 6157676800 in words is "six billion, one hundred fifty-seven million, six hundred seventy-six thousand, eight hundred".