6913578240 has 216 divisors, whose sum is σ = 24065463240. Its totient is φ = 1832435712.

The previous prime is 6913578233. The next prime is 6913578299. The reversal of 6913578240 is 428753196.

6913578240 is a `hidden beast` number, since 69 + 13 + 578 + 2 + 4 + 0 = 666.

6913578240 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 433972224 + 6479606016 = 20832^2 + 80496^2 .

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

6913578240 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1991226 + ... + 1994694.

It is a 1-persistent number, because it is pandigital, but 2⋅6913578240 = 13827156480 is not.

Almost surely, 2^6913578240 is an apocalyptic number.

6913578240 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 6913578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12032731620).

6913578240 is an abundant number, since it is smaller than the sum of its proper divisors (17151885000).

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

6913578240 is a wasteful number, since it uses less digits than its factorization.

6913578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6913578240 is about 83147.9298599791. The cubic root of 6913578240 is about 1905.0262339579.

The spelling of 6913578240 in words is "six billion, nine hundred thirteen million, five hundred seventy-eight thousand, two hundred forty".