6477210432 has 504 divisors, whose sum is σ = 24356397312. Its totient is φ = 1625702400.

The previous prime is 6477210403. The next prime is 6477210449. The reversal of 6477210432 is 2340127746.

6477210432 is a `hidden beast` number, since 6 + 4 + 7 + 7 + 210 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9624048 + ... + 9624720.

Almost surely, 2^6477210432 is an apocalyptic number.

6477210432 is a gapful number since it is divisible by the number (62) 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 6477210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12178198656).

6477210432 is an abundant number, since it is smaller than the sum of its proper divisors (17879186880).

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

6477210432 is a wasteful number, since it uses less digits than its factorization.

6477210432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 6477210432 is about 80481.1184812935. The cubic root of 6477210432 is about 1864.0719393604.

The spelling of 6477210432 in words is "six billion, four hundred seventy-seven million, two hundred ten thousand, four hundred thirty-two".