6477952320 has 392 divisors, whose sum is σ = 26438498304. Its totient is φ = 1480301568.

The previous prime is 6477952307. The next prime is 6477952339. The reversal of 6477952320 is 232597746.

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 (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1630977 + ... + 1634943.

Almost surely, 2^6477952320 is an apocalyptic number.

6477952320 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 6477952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219249152).

6477952320 is an abundant number, since it is smaller than the sum of its proper divisors (19960545984).

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

6477952320 is an equidigital number, since it uses as much as digits as its factorization.

6477952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 6477952320 is about 80485.7274303960. The cubic root of 6477952320 is about 1864.1431057893.

The spelling of 6477952320 in words is "six billion, four hundred seventy-seven million, nine hundred fifty-two thousand, three hundred twenty".