742688887200 has 864 divisors, whose sum is σ = 2918091355200. Its totient is φ = 162977218560.

The previous prime is 742688887189. The next prime is 742688887211. The reversal of 742688887200 is 2788886247.

It is an interprime number because it is at equal distance from previous prime (742688887189) and next prime (742688887211).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131005966 + ... + 131011634.

It is an arithmetic number, because the mean of its divisors is an integer number (3377420550).

Almost surely, 2^742688887200 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 742688887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459045677600).

742688887200 is an abundant number, since it is smaller than the sum of its proper divisors (2175402468000).

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

742688887200 is a wasteful number, since it uses less digits than its factorization.

742688887200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 60.

The spelling of 742688887200 in words is "seven hundred forty-two billion, six hundred eighty-eight million, eight hundred eighty-seven thousand, two hundred".