6940836464400 has 480 divisors, whose sum is σ = 25021362339840. Its totient is φ = 1827282240000.

The previous prime is 6940836464357. The next prime is 6940836464437. The reversal of 6940836464400 is 44646380496.

It is a happy number.

6940836464400 is a `hidden beast` number, since 6 + 9 + 40 + 83 + 64 + 64 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265807345 + ... + 265833455.

It is an arithmetic number, because the mean of its divisors is an integer number (52127838208).

Almost surely, 2^{6940836464400} is an apocalyptic number.

6940836464400 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 6940836464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12510681169920).

6940836464400 is an abundant number, since it is smaller than the sum of its proper divisors (18080525875440).

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

6940836464400 is a wasteful number, since it uses less digits than its factorization.

6940836464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26452 (or 26435 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 6940836464400 in words is "six trillion, nine hundred forty billion, eight hundred thirty-six million, four hundred sixty-four thousand, four hundred".