6455531520 has 480 divisors, whose sum is σ = 23807543760. Its totient is φ = 1672151040.

The previous prime is 6455531519. The next prime is 6455531527. The reversal of 6455531520 is 251355546.

6455531520 is a `hidden beast` number, since 6 + 455 + 53 + 152 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6455531527) 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, 35665830 + ... + 35666010.

Almost surely, 2^6455531520 is an apocalyptic number.

6455531520 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 6455531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11903771880).

6455531520 is an abundant number, since it is smaller than the sum of its proper divisors (17352012240).

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

6455531520 is a wasteful number, since it uses less digits than its factorization.

6455531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 6455531520 is about 80346.3223800567. The cubic root of 6455531520 is about 1861.9899618077.

The spelling of 6455531520 in words is "six billion, four hundred fifty-five million, five hundred thirty-one thousand, five hundred twenty".