4906073760 has 192 divisors, whose sum is σ = 17845132032. Its totient is φ = 1109753856.

The previous prime is 4906073749. The next prime is 4906073773. The reversal of 4906073760 is 673706094.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318394 + ... + 333446.

It is an arithmetic number, because the mean of its divisors is an integer number (92943396).

Almost surely, 2^4906073760 is an apocalyptic number.

4906073760 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 4906073760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8922566016).

4906073760 is an abundant number, since it is smaller than the sum of its proper divisors (12939058272).

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

4906073760 is a wasteful number, since it uses less digits than its factorization.

4906073760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15175 (or 15167 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 4906073760 is about 70043.3705642440. The cubic root of 4906073760 is about 1699.2007500147.

The spelling of 4906073760 in words is "four billion, nine hundred six million, seventy-three thousand, seven hundred sixty".