6477680640 has 416 divisors, whose sum is σ = 22646476800. Its totient is φ = 1574830080.

The previous prime is 6477680633. The next prime is 6477680689. The reversal of 6477680640 is 460867746.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6477680640.

It is a congruent number.

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, 36188071 + ... + 36188249.

Almost surely, 2^6477680640 is an apocalyptic number.

6477680640 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 6477680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11323238400).

6477680640 is an abundant number, since it is smaller than the sum of its proper divisors (16168796160).

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

6477680640 is a wasteful number, since it uses less digits than its factorization.

6477680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 6477680640 is about 80484.0396600469. The cubic root of 6477680640 is about 1864.1170452146.

The spelling of 6477680640 in words is "six billion, four hundred seventy-seven million, six hundred eighty thousand, six hundred forty".