749120848064 has 56 divisors (see below), whose sum is σ = 1565842944000. Its totient is φ = 354604642560.

The previous prime is 749120848051. The next prime is 749120848067. The reversal of 749120848064 is 460848021947.

It is a super-3 number, since 3×749120848064³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 749120847997 and 749120848015.

It is not an unprimeable number, because it can be changed into a prime (749120848067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1579337 + ... + 1998135.

Almost surely, 2^749120848064 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 749120848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782921472000).

749120848064 is an abundant number, since it is smaller than the sum of its proper divisors (816722095936).

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

749120848064 is a wasteful number, since it uses less digits than its factorization.

749120848064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420301 (or 420291 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 749120848064 in words is "seven hundred forty-nine billion, one hundred twenty million, eight hundred forty-eight thousand, sixty-four".