742178804004 has 405 divisors, whose sum is σ = 2260640952801. Its totient is φ = 212135267520.

The previous prime is 742178803997. The next prime is 742178804093. The reversal of 742178804004 is 400408871247.

The square root of 742178804004 is 861498.

It is a perfect power (a square), and thus also a powerful number.

742178804004 is a `hidden beast` number, since 74 + 2 + 178 + 8 + 0 + 400 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 691229285604 + 50949518400 = 831402^2 + 225720^2 .

It is a super-2 number, since 2×742178804004² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3240955362 + ... + 3240955590.

Almost surely, 2^742178804004 is an apocalyptic number.

742178804004 is the 861498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742178804004

742178804004 is an abundant number, since it is smaller than the sum of its proper divisors (1518462148797).

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

742178804004 is a wasteful number, since it uses less digits than its factorization.

742178804004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 742178804004 in words is "seven hundred forty-two billion, one hundred seventy-eight million, eight hundred four thousand, four".