6477435000 has 160 divisors (see below), whose sum is σ = 22484365200. Its totient is φ = 1727280000.

The previous prime is 6477434963. The next prime is 6477435011. The reversal of 6477435000 is 5347746.

6477435000 is a `hidden beast` number, since 647 + 7 + 4 + 3 + 5 + 0 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111010 + ... + 158990.

Almost surely, 2^6477435000 is an apocalyptic number.

6477435000 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 6477435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11242182600).

6477435000 is an abundant number, since it is smaller than the sum of its proper divisors (16006930200).

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

6477435000 is a wasteful number, since it uses less digits than its factorization.

6477435000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48016 (or 47991 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 6477435000 is about 80482.5136287380. The cubic root of 6477435000 is about 1864.0934818682.

The spelling of 6477435000 in words is "six billion, four hundred seventy-seven million, four hundred thirty-five thousand".