6557145480 has 256 divisors, whose sum is σ = 24362208000. Its totient is φ = 1559015424.

The previous prime is 6557145443. The next prime is 6557145487. The reversal of 6557145480 is 845417556.

6557145480 is a `hidden beast` number, since 6 + 55 + 71 + 454 + 80 = 666.

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 (6557145487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339442 + ... + 358238.

It is an arithmetic number, because the mean of its divisors is an integer number (95164875).

Almost surely, 2^6557145480 is an apocalyptic number.

6557145480 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 6557145480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12181104000).

6557145480 is an abundant number, since it is smaller than the sum of its proper divisors (17805062520).

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

6557145480 is a wasteful number, since it uses less digits than its factorization.

6557145480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18853 (or 18843 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 6557145480 is about 80976.2031710551. The cubic root of 6557145480 is about 1871.7087605766.

The spelling of 6557145480 in words is "six billion, five hundred fifty-seven million, one hundred forty-five thousand, four hundred eighty".