4492607760 has 160 divisors (see below), whose sum is σ = 16289136000. Its totient is φ = 1134964224.

The previous prime is 4492607701. The next prime is 4492607767. The reversal of 4492607760 is 677062944.

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

It is not an unprimeable number, because it can be changed into a prime (4492607767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13695 + ... + 95774.

It is an arithmetic number, because the mean of its divisors is an integer number (101807100).

Almost surely, 2^4492607760 is an apocalyptic number.

4492607760 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 4492607760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144568000).

4492607760 is an abundant number, since it is smaller than the sum of its proper divisors (11796528240).

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

4492607760 is a wasteful number, since it uses less digits than its factorization.

4492607760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109510 (or 109498 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4492607760 is about 67026.9181747154. The cubic root of 4492607760 is about 1650.0591053208.

The spelling of 4492607760 in words is "four billion, four hundred ninety-two million, six hundred seven thousand, seven hundred sixty".