742719076304832 has 1792 divisors, whose sum is σ = 2681701406208000. Its totient is φ = 198798692843520.

The previous prime is 742719076304827. The next prime is 742719076304873. The reversal of 742719076304832 is 238403670917247.

742719076304832 is a `hidden beast` number, since 7 + 4 + 2 + 7 + 1 + 90 + 7 + 63 + 0 + 483 + 2 = 666.

742719076304832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 742719076304832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 106881429294 + ... + 106881436242.

Almost surely, 2^{742719076304832} is an apocalyptic number.

742719076304832 is a gapful number since it is divisible by the number (72) 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 742719076304832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340850703104000).

742719076304832 is an abundant number, since it is smaller than the sum of its proper divisors (1938982329903168).

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

742719076304832 is a wasteful number, since it uses less digits than its factorization.

742719076304832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7291 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 742719076304832 in words is "seven hundred forty-two trillion, seven hundred nineteen billion, seventy-six million, three hundred four thousand, eight hundred thirty-two".