749076339933120 has 448 divisors, whose sum is σ = 2397220063056000. Its totient is φ = 198174140006400.

The previous prime is 749076339933101. The next prime is 749076339933203. The reversal of 749076339933120 is 21339933670947.

It is a super-2 number, since 2×749076339933120² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62169164856 + ... + 62169176904.

It is an arithmetic number, because the mean of its divisors is an integer number (5350937640750).

Almost surely, 2^{749076339933120} 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 749076339933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198610031528000).

749076339933120 is an abundant number, since it is smaller than the sum of its proper divisors (1648143723122880).

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

749076339933120 is a wasteful number, since it uses less digits than its factorization.

749076339933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13336 (or 13326 counting only the distinct ones).

The product of its (nonzero) digits is 138883248, while the sum is 66.

The spelling of 749076339933120 in words is "seven hundred forty-nine trillion, seventy-six billion, three hundred thirty-nine million, nine hundred thirty-three thousand, one hundred twenty".