4562663040 has 512 divisors, whose sum is σ = 18335520000. Its totient is φ = 1063010304.

The previous prime is 4562663033. The next prime is 4562663047. The reversal of 4562663040 is 403662654.

4562663040 is a `hidden beast` number, since 4 + 562 + 66 + 30 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4562663033) and next prime (4562663047).

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

It is a junction number, because it is equal to n+sod(n) for n = 4562662986 and 4562663004.

It is not an unprimeable number, because it can be changed into a prime (4562663047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4267626 + ... + 4268694.

Almost surely, 2^4562663040 is an apocalyptic number.

4562663040 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 4562663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9167760000).

4562663040 is an abundant number, since it is smaller than the sum of its proper divisors (13772856960).

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

4562663040 is a wasteful number, since it uses less digits than its factorization.

4562663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4562663040 is about 67547.4872959757. The cubic root of 4562663040 is about 1658.5916152231.

The spelling of 4562663040 in words is "four billion, five hundred sixty-two million, six hundred sixty-three thousand, forty".