6276464640 has 180 divisors, whose sum is σ = 21760302564. Its totient is φ = 1673527296.

The previous prime is 6276464639. The next prime is 6276464669. The reversal of 6276464640 is 464646726.

6276464640 is a `hidden beast` number, since 62 + 76 + 464 + 64 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4619649024 + 1656815616 = 67968^2 + 40704^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 733024 + ... + 741536.

Almost surely, 2^6276464640 is an apocalyptic number.

6276464640 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 6276464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10880151282).

6276464640 is an abundant number, since it is smaller than the sum of its proper divisors (15483837924).

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

6276464640 is an equidigital number, since it uses as much as digits as its factorization.

6276464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 6276464640 is about 79224.1417750928. The cubic root of 6276464640 is about 1844.6119967571.

The spelling of 6276464640 in words is "six billion, two hundred seventy-six million, four hundred sixty-four thousand, six hundred forty".