4306819680 has 384 divisors, whose sum is σ = 16024780800. Its totient is φ = 1077276672.

The previous prime is 4306819639. The next prime is 4306819687. The reversal of 4306819680 is 869186034.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4306819687) 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, 11244769 + ... + 11245151.

It is an arithmetic number, because the mean of its divisors is an integer number (41731200).

Almost surely, 2^4306819680 is an apocalyptic number.

4306819680 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 4306819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8012390400).

4306819680 is an abundant number, since it is smaller than the sum of its proper divisors (11717961120).

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

4306819680 is a wasteful number, since it uses less digits than its factorization.

4306819680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4306819680 is about 65626.3642143918. The cubic root of 4306819680 is about 1626.9925449709.

The spelling of 4306819680 in words is "four billion, three hundred six million, eight hundred nineteen thousand, six hundred eighty".