4805216640 has 384 divisors, whose sum is σ = 19482016320. Its totient is φ = 1068318720.

The previous prime is 4805216639. The next prime is 4805216653. The reversal of 4805216640 is 466125084.

4805216640 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 2 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 4805216595 and 4805216604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1490230 + ... + 1493450.

Almost surely, 2^4805216640 is an apocalyptic number.

4805216640 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 4805216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9741008160).

4805216640 is an abundant number, since it is smaller than the sum of its proper divisors (14676799680).

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

4805216640 is a wasteful number, since it uses less digits than its factorization.

4805216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4805216640 is about 69319.6699357405. The cubic root of 4805216640 is about 1687.4762044381.

It can be divided in two parts, 4805 and 216640, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 4805216640 in words is "four billion, eight hundred five million, two hundred sixteen thousand, six hundred forty".