745305200640 has 1536 divisors, whose sum is σ = 3558459340800. Its totient is φ = 142902558720.

The previous prime is 745305200639. The next prime is 745305200641. The reversal of 745305200640 is 46002503547.

745305200640 is a `hidden beast` number, since 7 + 4 + 5 + 3 + 0 + 5 + 2 + 0 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (745305200639) and next prime (745305200641).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 745305200595 and 745305200604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745305200641) 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 127 ways as a sum of consecutive naturals, for example, 276755134 + ... + 276757826.

It is an arithmetic number, because the mean of its divisors is an integer number (2316705300).

Almost surely, 2^745305200640 is an apocalyptic number.

745305200640 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 745305200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779229670400).

745305200640 is an abundant number, since it is smaller than the sum of its proper divisors (2813154140160).

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

745305200640 is a wasteful number, since it uses less digits than its factorization.

745305200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 745305200640 in words is "seven hundred forty-five billion, three hundred five million, two hundred thousand, six hundred forty".