4906193760 has 384 divisors, whose sum is σ = 18627840000. Its totient is φ = 1198872576.

The previous prime is 4906193759. The next prime is 4906193771. The reversal of 4906193760 is 673916094.

4906193760 is a `hidden beast` number, since 490 + 6 + 1 + 93 + 76 + 0 = 666.

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

It is a congruent number.

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, 11175621 + ... + 11176059.

It is an arithmetic number, because the mean of its divisors is an integer number (48510000).

Almost surely, 2^4906193760 is an apocalyptic number.

4906193760 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 4906193760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313920000).

4906193760 is an abundant number, since it is smaller than the sum of its proper divisors (13721646240).

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

4906193760 is a wasteful number, since it uses less digits than its factorization.

4906193760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 4906193760 is about 70044.2271711238. The cubic root of 4906193760 is about 1699.2146037559.

The spelling of 4906193760 in words is "four billion, nine hundred six million, one hundred ninety-three thousand, seven hundred sixty".