6349397760 has 288 divisors, whose sum is σ = 23086244160. Its totient is φ = 1651507200.

The previous prime is 6349397737. The next prime is 6349397771. The reversal of 6349397760 is 677939436.

6349397760 is a `hidden beast` number, since 6 + 3 + 493 + 97 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 6349397697 and 6349397706.

It is a congruent number.

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, 1414720 + ... + 1419200.

It is an arithmetic number, because the mean of its divisors is an integer number (80160570).

Almost surely, 2^6349397760 is an apocalyptic number.

6349397760 is a gapful number since it is divisible by the number (60) 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 6349397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11543122080).

6349397760 is an abundant number, since it is smaller than the sum of its proper divisors (16736846400).

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

6349397760 is a wasteful number, since it uses less digits than its factorization.

6349397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The square root of 6349397760 is about 79683.1083731050. The cubic root of 6349397760 is about 1851.7293554038.

The spelling of 6349397760 in words is "six billion, three hundred forty-nine million, three hundred ninety-seven thousand, seven hundred sixty".