745793180496 has 1600 divisors, whose sum is σ = 2961890426880. Its totient is φ = 175575859200.

The previous prime is 745793180453. The next prime is 745793180497. The reversal of 745793180496 is 694081397547.

745793180496 is a `hidden beast` number, since 7 + 4 + 57 + 93 + 1 + 8 + 0 + 496 = 666.

745793180496 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745793180497) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5872387185 + ... + 5872387311.

Almost surely, 2^745793180496 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 745793180496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480945213440).

745793180496 is an abundant number, since it is smaller than the sum of its proper divisors (2216097246384).

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

745793180496 is a wasteful number, since it uses less digits than its factorization.

745793180496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 745793180496 in words is "seven hundred forty-five billion, seven hundred ninety-three million, one hundred eighty thousand, four hundred ninety-six".