6736425696000 has 2304 divisors, whose sum is σ = 33384295526400. Its totient is φ = 1291935744000.

The previous prime is 6736425695957. The next prime is 6736425696001. The reversal of 6736425696000 is 6965246376.

6736425696000 is a `hidden beast` number, since 6 + 7 + 3 + 6 + 4 + 25 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (6736425696001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 864860106 + ... + 864867894.

It is an arithmetic number, because the mean of its divisors is an integer number (14489711600).

Almost surely, 2^{6736425696000} is an apocalyptic number.

6736425696000 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 6736425696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692147763200).

6736425696000 is an abundant number, since it is smaller than the sum of its proper divisors (26647869830400).

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

6736425696000 is a wasteful number, since it uses less digits than its factorization.

6736425696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7860 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 6736425696000 in words is "six trillion, seven hundred thirty-six billion, four hundred twenty-five million, six hundred ninety-six thousand".