745611776000 has 624 divisors, whose sum is σ = 2304694199808. Its totient is φ = 235782144000.

The previous prime is 745611775967. The next prime is 745611776003. The reversal of 745611776000 is 677116547.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745611776003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 605695385 + ... + 605696615.

It is an arithmetic number, because the mean of its divisors is an integer number (3693420192).

Almost surely, 2^745611776000 is an apocalyptic number.

745611776000 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 745611776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152347099904).

745611776000 is an abundant number, since it is smaller than the sum of its proper divisors (1559082423808).

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

745611776000 is a wasteful number, since it uses less digits than its factorization.

745611776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 44.

The spelling of 745611776000 in words is "seven hundred forty-five billion, six hundred eleven million, seven hundred seventy-six thousand".