749635528505472 has 2048 divisors, whose sum is σ = 2778951843840000. Its totient is φ = 194125448724480.

The previous prime is 749635528505471. The next prime is 749635528505527. The reversal of 749635528505472 is 274505825536947.

749635528505472 is a `hidden beast` number, since 7 + 4 + 9 + 6 + 3 + 5 + 5 + 28 + 50 + 547 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 749635528505472.

It is not an unprimeable number, because it can be changed into a prime (749635528505471) 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, 685851352158 + ... + 685851353250.

It is an arithmetic number, because the mean of its divisors is an integer number (1356910080000).

Almost surely, 2^{749635528505472} is an apocalyptic number.

749635528505472 is a gapful number since it is divisible by the number (72) 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 749635528505472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389475921920000).

749635528505472 is an abundant number, since it is smaller than the sum of its proper divisors (2029316315334528).

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

749635528505472 is a wasteful number, since it uses less digits than its factorization.

749635528505472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 2540160000, while the sum is 72.

The spelling of 749635528505472 in words is "seven hundred forty-nine trillion, six hundred thirty-five billion, five hundred twenty-eight million, five hundred five thousand, four hundred seventy-two".