4190503680 has 576 divisors, whose sum is σ = 16553456640. Its totient is φ = 995328000.

The previous prime is 4190503657. The next prime is 4190503721. The reversal of 4190503680 is 863050914.

4190503680 is a `hidden beast` number, since 4 + 1 + 90 + 503 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27751605 + ... + 27751755.

It is an arithmetic number, because the mean of its divisors is an integer number (28738640).

Almost surely, 2^4190503680 is an apocalyptic number.

4190503680 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 4190503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8276728320).

4190503680 is an abundant number, since it is smaller than the sum of its proper divisors (12362952960).

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

4190503680 is a wasteful number, since it uses less digits than its factorization.

4190503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4190503680 is about 64734.0998238177. The cubic root of 4190503680 is about 1612.2117256437.

The spelling of 4190503680 in words is "four billion, one hundred ninety million, five hundred three thousand, six hundred eighty".