42777815808 has 576 divisors, whose sum is σ = 146565199872. Its totient is φ = 10776084480.

The previous prime is 42777815807. The next prime is 42777815891. The reversal of 42777815808 is 80851877724.

It is not an unprimeable number, because it can be changed into a prime (42777815807) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183595660 + ... + 183595892.

It is an arithmetic number, because the mean of its divisors is an integer number (254453472).

Almost surely, 2^42777815808 is an apocalyptic number.

42777815808 is a gapful number since it is divisible by the number (48) 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 42777815808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73282599936).

42777815808 is an abundant number, since it is smaller than the sum of its proper divisors (103787384064).

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

42777815808 is a wasteful number, since it uses less digits than its factorization.

42777815808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 57.

The spelling of 42777815808 in words is "forty-two billion, seven hundred seventy-seven million, eight hundred fifteen thousand, eight hundred eight".