4778000641 has 8 divisors (see below), whose sum is σ = 4911967368. Its totient is φ = 4644864000.

The previous prime is 4778000627. The next prime is 4778000663. The reversal of 4778000641 is 1460008774.

It can be written as a sum of positive squares in 4 ways, for example, as 974688400 + 3803312241 = 31220^2 + 61671^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(4778000641) divides (4778000641-1)³.

It is a cyclic number.

It is not a de Polignac number, because 4778000641 - 2²⁹ = 4241129729 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4778000641.

It is not an unprimeable number, because it can be changed into a prime (4778000621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195840 + ... + 218881.

It is an arithmetic number, because the mean of its divisors is an integer number (613995921).

It is a Poulet number, since it divides 2^4778000640-1.

Almost surely, 2^4778000641 is an apocalyptic number.

4778000641 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4778000641 is a deficient number, since it is larger than the sum of its proper divisors (133966727).

4778000641 is a wasteful number, since it uses less digits than its factorization.

4778000641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415043.

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 4778000641 is about 69123.0832717986. The cubic root of 4778000641 is about 1684.2843031795.

The spelling of 4778000641 in words is "four billion, seven hundred seventy-eight million, six hundred forty-one", and thus it is an aban number.