6948429940800 has 252 divisors, whose sum is σ = 25770116648640. Its totient is φ = 1772353059840.

The previous prime is 6948429940757. The next prime is 6948429940801. The reversal of 6948429940800 is 80499248496.

6948429940800 is a `hidden beast` number, since 6 + 9 + 48 + 429 + 94 + 0 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6948429940801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10158580 + ... + 10820979.

Almost surely, 2^{6948429940800} is an apocalyptic number.

6948429940800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6948429940800 is an abundant number, since it is smaller than the sum of its proper divisors (18821686707840).

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

6948429940800 is a wasteful number, since it uses less digits than its factorization.

6948429940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20979610 (or 20979592 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 6948429940800 in words is "six trillion, nine hundred forty-eight billion, four hundred twenty-nine million, nine hundred forty thousand, eight hundred".