749956635120 has 960 divisors, whose sum is σ = 3028456166400. Its totient is φ = 150376089600.

The previous prime is 749956635101. The next prime is 749956635137. The reversal of 749956635120 is 21536659947.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2148872706 + ... + 2148873054.

It is an arithmetic number, because the mean of its divisors is an integer number (3154641840).

Almost surely, 2^749956635120 is an apocalyptic number.

749956635120 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 749956635120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514228083200).

749956635120 is an abundant number, since it is smaller than the sum of its proper divisors (2278499531280).

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

749956635120 is a wasteful number, since it uses less digits than its factorization.

749956635120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 57.

The spelling of 749956635120 in words is "seven hundred forty-nine billion, nine hundred fifty-six million, six hundred thirty-five thousand, one hundred twenty".