8049749760 has 1152 divisors, whose sum is σ = 34613913600. Its totient is φ = 1751777280.

The previous prime is 8049749731. The next prime is 8049749777. The reversal of 8049749760 is 679479408.

It is a happy number.

8049749760 is a `hidden beast` number, since 8 + 0 + 4 + 97 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8049749697 and 8049749706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196335340 + ... + 196335380.

It is an arithmetic number, because the mean of its divisors is an integer number (30046800).

Almost surely, 2^8049749760 is an apocalyptic number.

8049749760 is a gapful number since it is divisible by the number (80) 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 8049749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17306956800).

8049749760 is an abundant number, since it is smaller than the sum of its proper divisors (26564163840).

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

8049749760 is a wasteful number, since it uses less digits than its factorization.

8049749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 8049749760 is about 89720.3976807950. The cubic root of 8049749760 is about 2004.1372490172.

The spelling of 8049749760 in words is "eight billion, forty-nine million, seven hundred forty-nine thousand, seven hundred sixty".