6964548480 has 320 divisors, whose sum is σ = 25550902080. Its totient is φ = 1806520320.

The previous prime is 6964548473. The next prime is 6964548523. The reversal of 6964548480 is 848454696.

6964548480 is a `hidden beast` number, since 6 + 96 + 4 + 548 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1916265 + ... + 1919895.

It is an arithmetic number, because the mean of its divisors is an integer number (79846569).

Almost surely, 2^6964548480 is an apocalyptic number.

6964548480 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 6964548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12775451040).

6964548480 is an abundant number, since it is smaller than the sum of its proper divisors (18586353600).

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

6964548480 is a wasteful number, since it uses less digits than its factorization.

6964548480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 6964548480 is about 83453.8703716011. The cubic root of 6964548480 is about 1909.6963672197.

The spelling of 6964548480 in words is "six billion, nine hundred sixty-four million, five hundred forty-eight thousand, four hundred eighty".