749127725280 has 288 divisors, whose sum is σ = 2817554489568. Its totient is φ = 179734118400.

The previous prime is 749127725279. The next prime is 749127725303. The reversal of 749127725280 is 82527721947.

749127725280 is a `hidden beast` number, since 7 + 4 + 91 + 27 + 7 + 2 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×749127725280² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1292700 + ... + 1780260.

It is an arithmetic number, because the mean of its divisors is an integer number (9783175311).

Almost surely, 2^749127725280 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 749127725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408777244784).

749127725280 is an abundant number, since it is smaller than the sum of its proper divisors (2068426764288).

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

749127725280 is a wasteful number, since it uses less digits than its factorization.

749127725280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487690 (or 487679 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 749127725280 in words is "seven hundred forty-nine billion, one hundred twenty-seven million, seven hundred twenty-five thousand, two hundred eighty".