6800661504 has 880 divisors, whose sum is σ = 26964197568. Its totient is φ = 1656225792.

The previous prime is 6800661499. The next prime is 6800661509. The reversal of 6800661504 is 4051660086.

It is an interprime number because it is at equal distance from previous prime (6800661499) and next prime (6800661509).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6800661509) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 128314342 + ... + 128314394.

Almost surely, 2^6800661504 is an apocalyptic number.

6800661504 is a gapful number since it is divisible by the number (64) 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 6800661504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482098784).

6800661504 is an abundant number, since it is smaller than the sum of its proper divisors (20163536064).

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

6800661504 is a wasteful number, since it uses less digits than its factorization.

6800661504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

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

The square root of 6800661504 is about 82466.1233719641. The cubic root of 6800661504 is about 1894.5979058826.

The spelling of 6800661504 in words is "six billion, eight hundred million, six hundred sixty-one thousand, five hundred four".