742008028178304 has 576 divisors, whose sum is σ = 2389933095076800. Its totient is φ = 220163530752000.

The previous prime is 742008028178273. The next prime is 742008028178341. The reversal of 742008028178304 is 403871820800247.

742008028178304 is a `hidden beast` number, since 7 + 4 + 200 + 80 + 281 + 7 + 83 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 921631929 + ... + 922436679.

It is an arithmetic number, because the mean of its divisors is an integer number (4149189401175).

Almost surely, 2^{742008028178304} 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 742008028178304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194966547538400).

742008028178304 is an abundant number, since it is smaller than the sum of its proper divisors (1647925066898496).

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

742008028178304 is a wasteful number, since it uses less digits than its factorization.

742008028178304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804923 (or 804885 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 742008028178304 in words is "seven hundred forty-two trillion, eight billion, twenty-eight million, one hundred seventy-eight thousand, three hundred four".