746421706800 has 600 divisors, whose sum is σ = 3339873115392. Its totient is φ = 155100096000.

The previous prime is 746421706769. The next prime is 746421706813. The reversal of 746421706800 is 8607124647.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2345205 + ... + 2644395.

Almost surely, 2^746421706800 is an apocalyptic number.

746421706800 is a gapful number since it is divisible by the number (70) 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 746421706800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669936557696).

746421706800 is an abundant number, since it is smaller than the sum of its proper divisors (2593451408592).

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

746421706800 is a wasteful number, since it uses less digits than its factorization.

746421706800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299239 (or 299219 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 746421706800 in words is "seven hundred forty-six billion, four hundred twenty-one million, seven hundred six thousand, eight hundred".