2077467560448 has 640 divisors, whose sum is σ = 7019711424000. Its totient is φ = 543461474304.

The previous prime is 2077467560417. The next prime is 2077467560513. The reversal of 2077467560448 is 8440657647702.

It is a junction number, because it is equal to n+sod(n) for n = 2077467560391 and 2077467560400.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 331384258 + ... + 331390526.

It is an arithmetic number, because the mean of its divisors is an integer number (10968299100).

Almost surely, 2^{2077467560448} is an apocalyptic number.

2077467560448 is a gapful number since it is divisible by the number (28) 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 2077467560448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509855712000).

2077467560448 is an abundant number, since it is smaller than the sum of its proper divisors (4942243863552).

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

2077467560448 is an equidigital number, since it uses as much as digits as its factorization.

2077467560448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 60.

The spelling of 2077467560448 in words is "two trillion, seventy-seven billion, four hundred sixty-seven million, five hundred sixty thousand, four hundred forty-eight".