742982688000 has 2592 divisors, whose sum is σ = 3487466586240. Its totient is φ = 150493593600.

The previous prime is 742982687989. The next prime is 742982688001. The reversal of 742982688000 is 886289247.

742982688000 is a `hidden beast` number, since 7 + 429 + 82 + 68 + 80 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742982688001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4558175919 + ... + 4558176081.

It is an arithmetic number, because the mean of its divisors is an integer number (1345473220).

Almost surely, 2^742982688000 is an apocalyptic number.

742982688000 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 742982688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743733293120).

742982688000 is an abundant number, since it is smaller than the sum of its proper divisors (2744483898240).

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

742982688000 is a wasteful number, since it uses less digits than its factorization.

742982688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 742982688000 in words is "seven hundred forty-two billion, nine hundred eighty-two million, six hundred eighty-eight thousand".