6497673120 has 192 divisors, whose sum is σ = 22952160000. Its totient is φ = 1716691968.

The previous prime is 6497673103. The next prime is 6497673131. The reversal of 6497673120 is 213767946.

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

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, 463981 + ... + 477779.

It is an arithmetic number, because the mean of its divisors is an integer number (119542500).

Almost surely, 2^6497673120 is an apocalyptic number.

6497673120 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 6497673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11476080000).

6497673120 is an abundant number, since it is smaller than the sum of its proper divisors (16454486880).

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

6497673120 is a wasteful number, since it uses less digits than its factorization.

6497673120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13932 (or 13918 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 6497673120 is about 80608.1454941124. The cubic root of 6497673120 is about 1866.0328568154.

The spelling of 6497673120 in words is "six billion, four hundred ninety-seven million, six hundred seventy-three thousand, one hundred twenty".