4496083680 has 192 divisors, whose sum is σ = 15605001216. Its totient is φ = 1079040000.

The previous prime is 4496083661. The next prime is 4496083681. The reversal of 4496083680 is 863806944.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4496083681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529065 + ... + 537495.

It is an arithmetic number, because the mean of its divisors is an integer number (81276048).

Almost surely, 2^4496083680 is an apocalyptic number.

4496083680 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 4496083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802500608).

4496083680 is an abundant number, since it is smaller than the sum of its proper divisors (11108917536).

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

4496083680 is a wasteful number, since it uses less digits than its factorization.

4496083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8561 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 4496083680 is about 67052.8424453431. The cubic root of 4496083680 is about 1650.4845445618.

The spelling of 4496083680 in words is "four billion, four hundred ninety-six million, eighty-three thousand, six hundred eighty".