749770560000 has 3200 divisors, whose sum is σ = 3681621504000. Its totient is φ = 149022720000.

The previous prime is 749770559971. The next prime is 749770560001. The reversal of 749770560000 is 65077947.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749770560001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 32598719989 + ... + 32598720011.

It is an arithmetic number, because the mean of its divisors is an integer number (1150506720).

Almost surely, 2^749770560000 is an apocalyptic number.

749770560000 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 749770560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840810752000).

749770560000 is an abundant number, since it is smaller than the sum of its proper divisors (2931850944000).

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

749770560000 is an equidigital number, since it uses as much as digits as its factorization.

749770560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 749770560000 in words is "seven hundred forty-nine billion, seven hundred seventy million, five hundred sixty thousand".