4990745760 has 1152 divisors, whose sum is σ = 22950273024. Its totient is φ = 881786880.

The previous prime is 4990745723. The next prime is 4990745779. The reversal of 4990745760 is 675470994.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106186057 + ... + 106186103.

It is an arithmetic number, because the mean of its divisors is an integer number (19922112).

Almost surely, 2^4990745760 is an apocalyptic number.

4990745760 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 4990745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11475136512).

4990745760 is an abundant number, since it is smaller than the sum of its proper divisors (17959527264).

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

4990745760 is a wasteful number, since it uses less digits than its factorization.

4990745760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 4990745760 is about 70645.2104533634. The cubic root of 4990745760 is about 1708.9203266242.

The spelling of 4990745760 in words is "four billion, nine hundred ninety million, seven hundred forty-five thousand, seven hundred sixty".