6746457061200 has 240 divisors, whose sum is σ = 22609286413056. Its totient is φ = 1717831065600.

The previous prime is 6746457061193. The next prime is 6746457061277. The reversal of 6746457061200 is 21607546476.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6746457061200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 853644 + ... + 3771156.

Almost surely, 2^{6746457061200} is an apocalyptic number.

6746457061200 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 6746457061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11304643206528).

6746457061200 is an abundant number, since it is smaller than the sum of its proper divisors (15862829351856).

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

6746457061200 is a wasteful number, since it uses less digits than its factorization.

6746457061200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917622 (or 2917611 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 6746457061200 in words is "six trillion, seven hundred forty-six billion, four hundred fifty-seven million, sixty-one thousand, two hundred".