6356760480 has 288 divisors, whose sum is σ = 24923808000. Its totient is φ = 1445216256.

The previous prime is 6356760451. The next prime is 6356760491. The reversal of 6356760480 is 840676536.

6356760480 is a `hidden beast` number, since 6 + 3 + 567 + 6 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2004336 + ... + 2007504.

It is an arithmetic number, because the mean of its divisors is an integer number (86541000).

Almost surely, 2^6356760480 is an apocalyptic number.

6356760480 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 6356760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12461904000).

6356760480 is an abundant number, since it is smaller than the sum of its proper divisors (18567047520).

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

6356760480 is a wasteful number, since it uses less digits than its factorization.

6356760480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6356760480 is about 79729.2949924932. The cubic root of 6356760480 is about 1852.4448299938. Note that the first 3 decimals are identical.

The spelling of 6356760480 in words is "six billion, three hundred fifty-six million, seven hundred sixty thousand, four hundred eighty".