6679549578240 has 3520 divisors, whose sum is σ = 32014634572800. Its totient is φ = 1289945088000.

The previous prime is 6679549578227. The next prime is 6679549578257. The reversal of 6679549578240 is 428759459766.

6679549578240 is a `hidden beast` number, since 6 + 6 + 7 + 9 + 5 + 4 + 9 + 578 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 61280271306 + ... + 61280271414.

It is an arithmetic number, because the mean of its divisors is an integer number (9095066640).

Almost surely, 2^{6679549578240} is an apocalyptic number.

6679549578240 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 6679549578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16007317286400).

6679549578240 is an abundant number, since it is smaller than the sum of its proper divisors (25335084994560).

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

6679549578240 is a wasteful number, since it uses less digits than its factorization.

6679549578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 6679549578240 in words is "six trillion, six hundred seventy-nine billion, five hundred forty-nine million, five hundred seventy-eight thousand, two hundred forty".