745864740864 has 480 divisors, whose sum is σ = 2287881066240. Its totient is φ = 239997026304.

The previous prime is 745864740847. The next prime is 745864740869. The reversal of 745864740864 is 468047468547.

745864740864 is a `hidden beast` number, since 7 + 4 + 5 + 86 + 474 + 0 + 86 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745864740869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2149465939 + ... + 2149466285.

It is an arithmetic number, because the mean of its divisors is an integer number (4766418888).

Almost surely, 2^745864740864 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 745864740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143940533120).

745864740864 is an abundant number, since it is smaller than the sum of its proper divisors (1542016325376).

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

745864740864 is a wasteful number, since it uses less digits than its factorization.

745864740864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 745864740864 in words is "seven hundred forty-five billion, eight hundred sixty-four million, seven hundred forty thousand, eight hundred sixty-four".