746323275720000 has 1680 divisors, whose sum is σ = 2913528263164992. Its totient is φ = 167066664960000.

The previous prime is 746323275719993. The next prime is 746323275720007. The reversal of 746323275720000 is 27572323647.

746323275720000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (746323275719993) and next prime (746323275720007).

It is a super-2 number, since 2×746323275720000² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746323275720007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20218421544 + ... + 20218458456.

Almost surely, 2^{746323275720000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746323275720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456764131582496).

746323275720000 is an abundant number, since it is smaller than the sum of its proper divisors (2167204987444992).

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

746323275720000 is a wasteful number, since it uses less digits than its factorization.

746323275720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37046 (or 37004 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 48.

The spelling of 746323275720000 in words is "seven hundred forty-six trillion, three hundred twenty-three billion, two hundred seventy-five million, seven hundred twenty thousand".