745007207986080 has 480 divisors, whose sum is σ = 2831853742147584. Its totient is φ = 183363800315904.

The previous prime is 745007207986079. The next prime is 745007207986081. The reversal of 745007207986080 is 80689702700547.

745007207986080 is a `hidden beast` number, since 7 + 450 + 0 + 7 + 20 + 7 + 9 + 86 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (745007207986079) and next prime (745007207986081).

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 745007207985999 and 745007207986017.

It is not an unprimeable number, because it can be changed into a prime (745007207986081) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1388512417 + ... + 1389048863.

Almost surely, 2^{745007207986080} 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 745007207986080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415926871073792).

745007207986080 is an abundant number, since it is smaller than the sum of its proper divisors (2086846534161504).

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

745007207986080 is a wasteful number, since it uses less digits than its factorization.

745007207986080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544730 (or 544713 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 745007207986080 in words is "seven hundred forty-five trillion, seven billion, two hundred seven million, nine hundred eighty-six thousand, eighty".