745960429760 has 1008 divisors, whose sum is σ = 2455108587360. Its totient is φ = 214159196160.

The previous prime is 745960429741. The next prime is 745960429763. The reversal of 745960429760 is 67924069547.

745960429760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 745960429760.

It is not an unprimeable number, because it can be changed into a prime (745960429763) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1306410275 + ... + 1306410845.

Almost surely, 2^745960429760 is an apocalyptic number.

745960429760 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 745960429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227554293680).

745960429760 is an abundant number, since it is smaller than the sum of its proper divisors (1709148157600).

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

745960429760 is a wasteful number, since it uses less digits than its factorization.

745960429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 59.

The spelling of 745960429760 in words is "seven hundred forty-five billion, nine hundred sixty million, four hundred twenty-nine thousand, seven hundred sixty".