742693160448 has 480 divisors, whose sum is σ = 2326318106112. Its totient is φ = 227487744000.

The previous prime is 742693160441. The next prime is 742693160459. The reversal of 742693160448 is 844061396247.

742693160448 is a `hidden beast` number, since 7 + 4 + 26 + 9 + 3 + 1 + 604 + 4 + 8 = 666.

It is a super-3 number, since 3×742693160448³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 742693160394 and 742693160403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742693160441) by changing a digit.

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, 291136773 + ... + 291139323.

Almost surely, 2^742693160448 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 742693160448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163159053056).

742693160448 is an abundant number, since it is smaller than the sum of its proper divisors (1583624945664).

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

742693160448 is a wasteful number, since it uses less digits than its factorization.

742693160448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 742693160448 in words is "seven hundred forty-two billion, six hundred ninety-three million, one hundred sixty thousand, four hundred forty-eight".