6480714240 has 960 divisors, whose sum is σ = 30242564352. Its totient is φ = 1238630400.

The previous prime is 6480714193. The next prime is 6480714257. The reversal of 6480714240 is 424170846.

6480714240 is a `hidden beast` number, since 648 + 0 + 7 + 1 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 6480714195 and 6480714204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23062900 + ... + 23063180.

Almost surely, 2^6480714240 is an apocalyptic number.

6480714240 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 6480714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121282176).

6480714240 is an abundant number, since it is smaller than the sum of its proper divisors (23761850112).

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

6480714240 is a wasteful number, since it uses less digits than its factorization.

6480714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 6480714240 is about 80502.8834266202. The cubic root of 6480714240 is about 1864.4079982702.

The spelling of 6480714240 in words is "six billion, four hundred eighty million, seven hundred fourteen thousand, two hundred forty".