6474628108800 has 720 divisors, whose sum is σ = 23507594870760. Its totient is φ = 1701642240000.

The previous prime is 6474628108799. The next prime is 6474628108909. The reversal of 6474628108800 is 88018264746.

6474628108800 is a `hidden beast` number, since 6 + 4 + 7 + 4 + 628 + 1 + 0 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3712064995584 + 2762563113216 = 1926672^2 + 1662096^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2804082046 + ... + 2804084354.

Almost surely, 2^{6474628108800} is an apocalyptic number.

6474628108800 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 6474628108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11753797435380).

6474628108800 is an abundant number, since it is smaller than the sum of its proper divisors (17032966761960).

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

6474628108800 is a wasteful number, since it uses less digits than its factorization.

6474628108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 6474628108800 in words is "six trillion, four hundred seventy-four billion, six hundred twenty-eight million, one hundred eight thousand, eight hundred".