745155965760 has 448 divisors, whose sum is σ = 2527957555200. Its totient is φ = 185424519168.

The previous prime is 745155965759. The next prime is 745155965761. The reversal of 745155965760 is 67569551547.

It is a happy number.

745155965760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (745155965759) and next prime (745155965761).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 745155965694 and 745155965703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745155965761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 770584797 + ... + 770585763.

It is an arithmetic number, because the mean of its divisors is an integer number (5642762400).

Almost surely, 2^745155965760 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 745155965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263978777600).

745155965760 is an abundant number, since it is smaller than the sum of its proper divisors (1782801589440).

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

745155965760 is a wasteful number, since it uses less digits than its factorization.

745155965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 39690000, while the sum is 60.

The spelling of 745155965760 in words is "seven hundred forty-five billion, one hundred fifty-five million, nine hundred sixty-five thousand, seven hundred sixty".