4278320640 has 640 divisors, whose sum is σ = 17606730240. Its totient is φ = 973209600.

The previous prime is 4278320639. The next prime is 4278320659. The reversal of 4278320640 is 460238724.

4278320640 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 3 + 2 + 0 + 640 = 666.

4278320640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4278320595 and 4278320604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12925275 + ... + 12925605.

It is an arithmetic number, because the mean of its divisors is an integer number (27510516).

Almost surely, 2^4278320640 is an apocalyptic number.

4278320640 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 4278320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8803365120).

4278320640 is an abundant number, since it is smaller than the sum of its proper divisors (13328409600).

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

4278320640 is a wasteful number, since it uses less digits than its factorization.

4278320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4278320640 is about 65408.8727926112. The cubic root of 4278320640 is about 1623.3958942796.

The spelling of 4278320640 in words is "four billion, two hundred seventy-eight million, three hundred twenty thousand, six hundred forty".