4057784640 has 672 divisors, whose sum is σ = 17759842560. Its totient is φ = 853991424.

The previous prime is 4057784617. The next prime is 4057784651. The reversal of 4057784640 is 464877504.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10220922 + ... + 10221318.

Almost surely, 2^4057784640 is an apocalyptic number.

4057784640 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 4057784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8879921280).

4057784640 is an abundant number, since it is smaller than the sum of its proper divisors (13702057920).

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

4057784640 is a wasteful number, since it uses less digits than its factorization.

4057784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4057784640 is about 63700.7428528114. The cubic root of 4057784640 is about 1595.0084858515.

The spelling of 4057784640 in words is "four billion, fifty-seven million, seven hundred eighty-four thousand, six hundred forty".