742791168000 has 1920 divisors, whose sum is σ = 3336886425600. Its totient is φ = 159252480000.

The previous prime is 742791167977. The next prime is 742791168011. The reversal of 742791168000 is 861197247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7354367950 + ... + 7354368050.

It is an arithmetic number, because the mean of its divisors is an integer number (1737961680).

Almost surely, 2^742791168000 is an apocalyptic number.

742791168000 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 742791168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668443212800).

742791168000 is an abundant number, since it is smaller than the sum of its proper divisors (2594095257600).

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

742791168000 is a wasteful number, since it uses less digits than its factorization.

742791168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 742791168000 in words is "seven hundred forty-two billion, seven hundred ninety-one million, one hundred sixty-eight thousand".