745234421760 has 768 divisors, whose sum is σ = 2715547161600. Its totient is φ = 196238868480.

The previous prime is 745234421753. The next prime is 745234421761. The reversal of 745234421760 is 67124432547.

745234421760 is a `hidden beast` number, since 7 + 4 + 523 + 44 + 21 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×745234421760² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745234421761) 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 63 ways as a sum of consecutive naturals, for example, 2396252005 + ... + 2396252315.

It is an arithmetic number, because the mean of its divisors is an integer number (3535868700).

Almost surely, 2^745234421760 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 745234421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357773580800).

745234421760 is an abundant number, since it is smaller than the sum of its proper divisors (1970312739840).

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

745234421760 is an equidigital number, since it uses as much as digits as its factorization.

745234421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 745234421760 in words is "seven hundred forty-five billion, two hundred thirty-four million, four hundred twenty-one thousand, seven hundred sixty".