42778293264 has 480 divisors, whose sum is σ = 153977446400. Its totient is φ = 11125278720.

The previous prime is 42778293221. The next prime is 42778293319. The reversal of 42778293264 is 46239287724.

42778293264 is a `hidden beast` number, since 4 + 27 + 78 + 293 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42778293264.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 27091227 + ... + 27092805.

Almost surely, 2^42778293264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42778293264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76988723200).

42778293264 is an abundant number, since it is smaller than the sum of its proper divisors (111199153136).

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

42778293264 is a wasteful number, since it uses less digits than its factorization.

42778293264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1639 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 42778293264 in words is "forty-two billion, seven hundred seventy-eight million, two hundred ninety-three thousand, two hundred sixty-four".