6455077920 has 240 divisors, whose sum is σ = 23517381888. Its totient is φ = 1665722880.

The previous prime is 6455077907. The next prime is 6455077927. The reversal of 6455077920 is 297705546.

6455077920 is a `hidden beast` number, since 6 + 4 + 550 + 7 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (6455077927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 393727 + ... + 409793.

Almost surely, 2^6455077920 is an apocalyptic number.

6455077920 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 6455077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11758690944).

6455077920 is an abundant number, since it is smaller than the sum of its proper divisors (17062303968).

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

6455077920 is a wasteful number, since it uses less digits than its factorization.

6455077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16125 (or 16108 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 6455077920 is about 80343.4995503681. The cubic root of 6455077920 is about 1861.9463496783.

The spelling of 6455077920 in words is "six billion, four hundred fifty-five million, seventy-seven thousand, nine hundred twenty".