742871691360 has 288 divisors, whose sum is σ = 2605157886240. Its totient is φ = 192627154944.

The previous prime is 742871691343. The next prime is 742871691377. The reversal of 742871691360 is 63196178247.

742871691360 is a `hidden beast` number, since 7 + 42 + 87 + 169 + 1 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (742871691343) and next prime (742871691377).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 742871691297 and 742871691306.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 117372676 + ... + 117379004.

It is an arithmetic number, because the mean of its divisors is an integer number (9045687105).

Almost surely, 2^742871691360 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 742871691360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302578943120).

742871691360 is an abundant number, since it is smaller than the sum of its proper divisors (1862286194880).

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

742871691360 is a wasteful number, since it uses less digits than its factorization.

742871691360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8590 (or 8579 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 742871691360 in words is "seven hundred forty-two billion, eight hundred seventy-one million, six hundred ninety-one thousand, three hundred sixty".