6499577700 has 720 divisors, whose sum is σ = 27858466944. Its totient is φ = 1269043200.

The previous prime is 6499577699. The next prime is 6499577713. The reversal of 6499577700 is 77759946.

It is a happy number.

6499577700 is a `hidden beast` number, since 64 + 9 + 9 + 577 + 7 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10602594 + ... + 10603206.

Almost surely, 2^6499577700 is an apocalyptic number.

6499577700 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 6499577700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13929233472).

6499577700 is an abundant number, since it is smaller than the sum of its proper divisors (21358889244).

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

6499577700 is a wasteful number, since it uses less digits than its factorization.

6499577700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 6499577700 is about 80619.9584470248. The cubic root of 6499577700 is about 1866.2151611369.

The spelling of 6499577700 in words is "six billion, four hundred ninety-nine million, five hundred seventy-seven thousand, seven hundred".