4278790656 has 480 divisors, whose sum is σ = 15550254720. Its totient is φ = 1150599168.

The previous prime is 4278790619. The next prime is 4278790661. The reversal of 4278790656 is 6560978724.

4278790656 is a `hidden beast` number, since 427 + 87 + 90 + 6 + 56 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251693560 + ... + 251693576.

It is an arithmetic number, because the mean of its divisors is an integer number (32396364).

Almost surely, 2^4278790656 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 4278790656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7775127360).

4278790656 is an abundant number, since it is smaller than the sum of its proper divisors (11271464064).

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

4278790656 is an frugal number, since it uses more digits than its factorization.

4278790656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 4278790656 is about 65412.4656009846. The cubic root of 4278790656 is about 1623.4553408217.

The spelling of 4278790656 in words is "four billion, two hundred seventy-eight million, seven hundred ninety thousand, six hundred fifty-six".