4462663680 has 192 divisors, whose sum is σ = 15864357600. Its totient is φ = 1189969920.

The previous prime is 4462663669. The next prime is 4462663691. The reversal of 4462663680 is 863662644.

4462663680 is a `hidden beast` number, since 4 + 4 + 6 + 2 + 6 + 636 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4462663669) and next prime (4462663691).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4462663680² = 39830734241582284800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 268410 + ... + 284550.

Almost surely, 2^4462663680 is an apocalyptic number.

4462663680 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 4462663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7932178800).

4462663680 is an abundant number, since it is smaller than the sum of its proper divisors (11401693920).

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

4462663680 is a wasteful number, since it uses less digits than its factorization.

4462663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16177 (or 16151 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 4462663680 is about 66803.1711822126. The cubic root of 4462663680 is about 1646.3849449107.

The spelling of 4462663680 in words is "four billion, four hundred sixty-two million, six hundred sixty-three thousand, six hundred eighty".