4775774640 has 640 divisors, whose sum is σ = 20338698240. Its totient is φ = 897122304.

The previous prime is 4775774639. The next prime is 4775774687. The reversal of 4775774640 is 464775774.

4775774640 = 12201² + 12202² + ... + 12232².

It is a Harshad number since it is a multiple of its sum of digits (51).

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 127 ways as a sum of consecutive naturals, for example, 7053982 + ... + 7054658.

It is an arithmetic number, because the mean of its divisors is an integer number (31779216).

Almost surely, 2^4775774640 is an apocalyptic number.

4775774640 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 4775774640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10169349120).

4775774640 is an abundant number, since it is smaller than the sum of its proper divisors (15562923600).

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

4775774640 is a wasteful number, since it uses less digits than its factorization.

4775774640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 51.

The square root of 4775774640 is about 69106.9796764408. The cubic root of 4775774640 is about 1684.0227013638.

The spelling of 4775774640 in words is "four billion, seven hundred seventy-five million, seven hundred seventy-four thousand, six hundred forty".