745495646837760 has 4840 divisors, whose sum is σ = 3412727241712320. Its totient is φ = 155300358979584.

The previous prime is 745495646837729. The next prime is 745495646837803. The reversal of 745495646837760 is 67738646594547.

745495646837760 is a `hidden beast` number, since 7 + 4 + 5 + 4 + 9 + 56 + 468 + 37 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 745495646837760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 439 ways as a sum of consecutive naturals, for example, 9436653757401 + ... + 9436653757479.

Almost surely, 2^{745495646837760} is an apocalyptic number.

745495646837760 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 745495646837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706363620856160).

745495646837760 is an abundant number, since it is smaller than the sum of its proper divisors (2667231594874560).

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

745495646837760 is an frugal number, since it uses more digits than its factorization.

745495646837760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 25604812800, while the sum is 81.

The spelling of 745495646837760 in words is "seven hundred forty-five trillion, four hundred ninety-five billion, six hundred forty-six million, eight hundred thirty-seven thousand, seven hundred sixty".