4190792760 has 768 divisors, whose sum is σ = 18285696000. Its totient is φ = 806215680.

The previous prime is 4190792743. The next prime is 4190792761. The reversal of 4190792760 is 672970914.

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 (4190792761) 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 191 ways as a sum of consecutive naturals, for example, 38447586 + ... + 38447694.

It is an arithmetic number, because the mean of its divisors is an integer number (23809500).

Almost surely, 2^4190792760 is an apocalyptic number.

4190792760 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 4190792760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9142848000).

4190792760 is an abundant number, since it is smaller than the sum of its proper divisors (14094903240).

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

4190792760 is a wasteful number, since it uses less digits than its factorization.

4190792760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 4190792760 is about 64736.3326116023. The cubic root of 4190792760 is about 1612.2487973567.

The spelling of 4190792760 in words is "four billion, one hundred ninety million, seven hundred ninety-two thousand, seven hundred sixty".