746299008000 has 2640 divisors, whose sum is σ = 3515082755184. Its totient is φ = 156067430400.

The previous prime is 746299007981. The next prime is 746299008041. The reversal of 746299008000 is 800992647.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 608699556864 + 137599451136 = 780192^2 + 370944^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6604415944 + ... + 6604416056.

Almost surely, 2^746299008000 is an apocalyptic number.

746299008000 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 746299008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757541377592).

746299008000 is an abundant number, since it is smaller than the sum of its proper divisors (2768783747184).

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

746299008000 is a wasteful number, since it uses less digits than its factorization.

746299008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 746299008000 in words is "seven hundred forty-six billion, two hundred ninety-nine million, eight thousand".