6801516540 has 540 divisors, whose sum is σ = 26962482456. Its totient is φ = 1435045248.

The previous prime is 6801516517. The next prime is 6801516551. The reversal of 6801516540 is 456151086.

6801516540 is a `hidden beast` number, since 68 + 0 + 1 + 51 + 6 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a junction number, because it is equal to n+sod(n) for n = 6801516495 and 6801516504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 523193574 + ... + 523193586.

Almost surely, 2^6801516540 is an apocalyptic number.

6801516540 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 6801516540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13481241228).

6801516540 is an abundant number, since it is smaller than the sum of its proper divisors (20160965916).

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

6801516540 is an equidigital number, since it uses as much as digits as its factorization.

6801516540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 6801516540 is about 82471.3073741407. The cubic root of 6801516540 is about 1894.6773041160.

The spelling of 6801516540 in words is "six billion, eight hundred one million, five hundred sixteen thousand, five hundred forty".