742681795126960 has 160 divisors (see below), whose sum is σ = 1921879239856128. Its totient is φ = 265052674759680.

The previous prime is 742681795126933. The next prime is 742681795126993. The reversal of 742681795126960 is 69621597186247.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12538359 + ... + 40528681.

Almost surely, 2^{742681795126960} 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 742681795126960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960939619928064).

742681795126960 is an abundant number, since it is smaller than the sum of its proper divisors (1179197444729168).

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

742681795126960 is a wasteful number, since it uses less digits than its factorization.

742681795126960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27991203 (or 27991197 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 73.

The spelling of 742681795126960 in words is "seven hundred forty-two trillion, six hundred eighty-one billion, seven hundred ninety-five million, one hundred twenty-six thousand, nine hundred sixty".