742902048000 has 1728 divisors, whose sum is σ = 3217363269120. Its totient is φ = 161021952000.

The previous prime is 742902047999. The next prime is 742902048001. The reversal of 742902048000 is 840209247.

742902048000 is a `hidden beast` number, since 74 + 2 + 90 + 20 + 480 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (742902047999) and next prime (742902048001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742902048001) 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 191 ways as a sum of consecutive naturals, for example, 5671007935 + ... + 5671008065.

It is an arithmetic number, because the mean of its divisors is an integer number (1861900040).

Almost surely, 2^742902048000 is an apocalyptic number.

742902048000 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 742902048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608681634560).

742902048000 is an abundant number, since it is smaller than the sum of its proper divisors (2474461221120).

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

742902048000 is a wasteful number, since it uses less digits than its factorization.

742902048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 742902048000 in words is "seven hundred forty-two billion, nine hundred two million, forty-eight thousand".