6917568480 has 384 divisors, whose sum is σ = 25039808640. Its totient is φ = 1805027328.

The previous prime is 6917568451. The next prime is 6917568491. The reversal of 6917568480 is 848657196.

6917568480 is a `hidden beast` number, since 6 + 91 + 75 + 6 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18545574 + ... + 18545946.

It is an arithmetic number, because the mean of its divisors is an integer number (65207835).

Almost surely, 2^6917568480 is an apocalyptic number.

6917568480 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 6917568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519904320).

6917568480 is an abundant number, since it is smaller than the sum of its proper divisors (18122240160).

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

6917568480 is an equidigital number, since it uses as much as digits as its factorization.

6917568480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 6917568480 is about 83171.9212234514. The cubic root of 6917568480 is about 1905.3926650425.

The spelling of 6917568480 in words is "six billion, nine hundred seventeen million, five hundred sixty-eight thousand, four hundred eighty".