749546772280320 has 2112 divisors, whose sum is σ = 2869907326133760. Its totient is φ = 166433875034112.

The previous prime is 749546772280297. The next prime is 749546772280331. The reversal of 749546772280320 is 23082277645947.

It is a super-3 number, since 3×749546772280320³ (a number of 46 digits) contains 333 as substring.

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, 1539110415117 + ... + 1539110415603.

It is an arithmetic number, because the mean of its divisors is an integer number (1358857635480).

Almost surely, 2^{749546772280320} is an apocalyptic number.

749546772280320 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 749546772280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434953663066880).

749546772280320 is an abundant number, since it is smaller than the sum of its proper divisors (2120360553853440).

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

749546772280320 is a wasteful number, since it uses less digits than its factorization.

749546772280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 66.

The spelling of 749546772280320 in words is "seven hundred forty-nine trillion, five hundred forty-six billion, seven hundred seventy-two million, two hundred eighty thousand, three hundred twenty".