742970075443200 has 6240 divisors, whose sum is σ = 3316328321974272. Its totient is φ = 163178053632000.

The previous prime is 742970075443121. The next prime is 742970075443201. The reversal of 742970075443200 is 2344570079247.

742970075443200 is a `hidden beast` number, since 7 + 4 + 2 + 9 + 70 + 0 + 7 + 544 + 3 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742970075443201) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 15807873945577 + ... + 15807873945623.

Almost surely, 2^{742970075443200} 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 742970075443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658164160987136).

742970075443200 is an abundant number, since it is smaller than the sum of its proper divisors (2573358246531072).

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

742970075443200 is an equidigital number, since it uses as much as digits as its factorization.

742970075443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 742970075443200 in words is "seven hundred forty-two trillion, nine hundred seventy billion, seventy-five million, four hundred forty-three thousand, two hundred".