6498779040 has 480 divisors, whose sum is σ = 26163965520. Its totient is φ = 1504935936.

The previous prime is 6498779039. The next prime is 6498779051. The reversal of 6498779040 is 409778946.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 886371984 + 5612407056 = 29772^2 + 74916^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2863026 + ... + 2865294.

Almost surely, 2^6498779040 is an apocalyptic number.

6498779040 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 6498779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13081982760).

6498779040 is an abundant number, since it is smaller than the sum of its proper divisors (19665186480).

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

6498779040 is a wasteful number, since it uses less digits than its factorization.

6498779040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2309 counting only the distinct ones).

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

The square root of 6498779040 is about 80615.0050548904. The cubic root of 6498779040 is about 1866.1387186087.

The spelling of 6498779040 in words is "six billion, four hundred ninety-eight million, seven hundred seventy-nine thousand, forty".