6076800253440 has 240 divisors, whose sum is σ = 24052193070048. Its totient is φ = 1388982878208.

The previous prime is 6076800253427. The next prime is 6076800253441. The reversal of 6076800253440 is 443520086706.

6076800253440 is a `hidden beast` number, since 6 + 0 + 76 + 8 + 0 + 0 + 2 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6076800253441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18678007 + ... + 19000566.

Almost surely, 2^{6076800253440} is an apocalyptic number.

6076800253440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6076800253440 is an abundant number, since it is smaller than the sum of its proper divisors (17975392816608).

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

6076800253440 is a wasteful number, since it uses less digits than its factorization.

6076800253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37678609 (or 37678590 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 6076800253440 in words is "six trillion, seventy-six billion, eight hundred million, two hundred fifty-three thousand, four hundred forty".