745683658720 has 1536 divisors, whose sum is σ = 2598522716160. Its totient is φ = 194739240960.

The previous prime is 745683658691. The next prime is 745683658729. The reversal of 745683658720 is 27856386547.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745683658729) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10214844604 + ... + 10214844676.

It is an arithmetic number, because the mean of its divisors is an integer number (1691746560).

Almost surely, 2^745683658720 is an apocalyptic number.

745683658720 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 745683658720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299261358080).

745683658720 is an abundant number, since it is smaller than the sum of its proper divisors (1852839057440).

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

745683658720 is a wasteful number, since it uses less digits than its factorization.

745683658720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 61.

The spelling of 745683658720 in words is "seven hundred forty-five billion, six hundred eighty-three million, six hundred fifty-eight thousand, seven hundred twenty".