6891540480 has 624 divisors, whose sum is σ = 27191498880. Its totient is φ = 1654456320.

The previous prime is 6891540479. The next prime is 6891540493. The reversal of 6891540480 is 840451986.

6891540480 is a `hidden beast` number, since 68 + 9 + 1 + 540 + 48 + 0 = 666.

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, 66908109 + ... + 66908211.

It is an arithmetic number, because the mean of its divisors is an integer number (43576120).

Almost surely, 2^6891540480 is an apocalyptic number.

6891540480 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 6891540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595749440).

6891540480 is an abundant number, since it is smaller than the sum of its proper divisors (20299958400).

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

6891540480 is a wasteful number, since it uses less digits than its factorization.

6891540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6891540480 is about 83015.3026857097. The cubic root of 6891540480 is about 1902.9999220377. Note that the first 4 decimals are identical.

The spelling of 6891540480 in words is "six billion, eight hundred ninety-one million, five hundred forty thousand, four hundred eighty".