42774308640 has 576 divisors, whose sum is σ = 174045231360. Its totient is φ = 9359400960.

The previous prime is 42774308623. The next prime is 42774308641. The reversal of 42774308640 is 4680347724.

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

It is not an unprimeable number, because it can be changed into a prime (42774308641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38293362 + ... + 38294478.

It is an arithmetic number, because the mean of its divisors is an integer number (302161860).

Almost surely, 2^42774308640 is an apocalyptic number.

42774308640 is a gapful number since it is divisible by the number (40) 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 42774308640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87022615680).

42774308640 is an abundant number, since it is smaller than the sum of its proper divisors (131270922720).

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

42774308640 is a wasteful number, since it uses less digits than its factorization.

42774308640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 42774308640 in words is "forty-two billion, seven hundred seventy-four million, three hundred eight thousand, six hundred forty".