6800121504 has 192 divisors, whose sum is σ = 21745704960. Its totient is φ = 2050272000.

The previous prime is 6800121481. The next prime is 6800121541. The reversal of 6800121504 is 4051210086.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2003649 + ... + 2007039.

It is an arithmetic number, because the mean of its divisors is an integer number (113258880).

Almost surely, 2^6800121504 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 6800121504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872852480).

6800121504 is an abundant number, since it is smaller than the sum of its proper divisors (14945583456).

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

6800121504 is a wasteful number, since it uses less digits than its factorization.

6800121504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 6800121504 is about 82462.8492352769. The cubic root of 6800121504 is about 1894.5477583124.

The spelling of 6800121504 in words is "six billion, eight hundred million, one hundred twenty-one thousand, five hundred four".