6497959104 has 672 divisors, whose sum is σ = 24859000320. Its totient is φ = 1619896320.

The previous prime is 6497959067. The next prime is 6497959109. The reversal of 6497959104 is 4019597946.

It is a happy number.

6497959104 is a `hidden beast` number, since 6 + 49 + 7 + 9 + 591 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (6497959109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151115307 + ... + 151115349.

It is an arithmetic number, because the mean of its divisors is an integer number (36992560).

Almost surely, 2^6497959104 is an apocalyptic number.

6497959104 is a gapful number since it is divisible by the number (64) 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 6497959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12429500160).

6497959104 is an abundant number, since it is smaller than the sum of its proper divisors (18361041216).

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

6497959104 is a wasteful number, since it uses less digits than its factorization.

6497959104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 6497959104 is about 80609.9193896136. The cubic root of 6497959104 is about 1866.0602331649.

The spelling of 6497959104 in words is "six billion, four hundred ninety-seven million, nine hundred fifty-nine thousand, one hundred four".