745460871321600 has 4032 divisors, whose sum is σ = 3310307514259200. Its totient is φ = 162851267543040.

The previous prime is 745460871321559. The next prime is 745460871321611. The reversal of 745460871321600 is 6123178064547.

745460871321600 is a `hidden beast` number, since 7 + 4 + 5 + 4 + 6 + 0 + 8 + 7 + 1 + 3 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 570360268147 + ... + 570360269453.

It is an arithmetic number, because the mean of its divisors is an integer number (821008808100).

Almost surely, 2^{745460871321600} is an apocalyptic number.

745460871321600 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 745460871321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655153757129600).

745460871321600 is an abundant number, since it is smaller than the sum of its proper divisors (2564846642937600).

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

745460871321600 is a wasteful number, since it uses less digits than its factorization.

745460871321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 745460871321600 in words is "seven hundred forty-five trillion, four hundred sixty billion, eight hundred seventy-one million, three hundred twenty-one thousand, six hundred".