742079788001664 has 1536 divisors, whose sum is σ = 2660782749004800. Its totient is φ = 178343539900416.

The previous prime is 742079788001653. The next prime is 742079788001693. The reversal of 742079788001664 is 466100887970247.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33528195142 + ... + 33528217274.

It is an arithmetic number, because the mean of its divisors is an integer number (1732280435550).

Almost surely, 2^{742079788001664} 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 742079788001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330391374502400).

742079788001664 is an abundant number, since it is smaller than the sum of its proper divisors (1918702961003136).

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

742079788001664 is a wasteful number, since it uses less digits than its factorization.

742079788001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22312 (or 22277 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 69.

The spelling of 742079788001664 in words is "seven hundred forty-two trillion, seventy-nine billion, seven hundred eighty-eight million, one thousand, six hundred sixty-four".