745108249680 has 800 divisors, whose sum is σ = 2852608492800. Its totient is φ = 179412516864.

The previous prime is 745108249657. The next prime is 745108249687. The reversal of 745108249680 is 86942801547.

It is a happy number.

745108249680 is a `hidden beast` number, since 7 + 4 + 510 + 8 + 2 + 49 + 6 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745108249687) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 571839909 + ... + 571841211.

It is an arithmetic number, because the mean of its divisors is an integer number (3565760616).

Almost surely, 2^745108249680 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 745108249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426304246400).

745108249680 is an abundant number, since it is smaller than the sum of its proper divisors (2107500243120).

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

745108249680 is a wasteful number, since it uses less digits than its factorization.

745108249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 745108249680 in words is "seven hundred forty-five billion, one hundred eight million, two hundred forty-nine thousand, six hundred eighty".