6077415566040 has 512 divisors, whose sum is σ = 23635003392000. Its totient is φ = 1214045853696.

The previous prime is 6077415565999. The next prime is 6077415566041. The reversal of 6077415566040 is 406655147706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6077415566041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 383207631 + ... + 383223489.

It is an arithmetic number, because the mean of its divisors is an integer number (46162116000).

Almost surely, 2^{6077415566040} is an apocalyptic number.

6077415566040 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 6077415566040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11817501696000).

6077415566040 is an abundant number, since it is smaller than the sum of its proper divisors (17557587825960).

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

6077415566040 is a wasteful number, since it uses less digits than its factorization.

6077415566040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17759 (or 17755 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 6077415566040 in words is "six trillion, seventy-seven billion, four hundred fifteen million, five hundred sixty-six thousand, forty".