745355984688 has 240 divisors, whose sum is σ = 2510976549120. Its totient is φ = 201625956864.

The previous prime is 745355984641. The next prime is 745355984717. The reversal of 745355984688 is 886489553547.

745355984688 is a `hidden beast` number, since 7 + 4 + 5 + 3 + 559 + 8 + 4 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33447406 + ... + 33469682.

It is an arithmetic number, because the mean of its divisors is an integer number (10462402288).

Almost surely, 2^745355984688 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 745355984688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255488274560).

745355984688 is an abundant number, since it is smaller than the sum of its proper divisors (1765620564432).

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

745355984688 is a wasteful number, since it uses less digits than its factorization.

745355984688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24064 (or 24055 counting only the distinct ones).

The product of its digits is 1161216000, while the sum is 72.

The spelling of 745355984688 in words is "seven hundred forty-five billion, three hundred fifty-five million, nine hundred eighty-four thousand, six hundred eighty-eight".