742405672544 has 48 divisors (see below), whose sum is σ = 1476475030800. Its totient is φ = 367434607104.

The previous prime is 742405672543. The next prime is 742405672553. The reversal of 742405672544 is 445276504247.

742405672544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 742405672492 and 742405672501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742405672543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3449834 + ... + 3658710.

It is an arithmetic number, because the mean of its divisors is an integer number (30759896475).

Almost surely, 2^742405672544 is an apocalyptic number.

It is an amenable number.

742405672544 is a deficient number, since it is larger than the sum of its proper divisors (734069358256).

742405672544 is a wasteful number, since it uses less digits than its factorization.

742405672544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210015 (or 210007 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 50.

The spelling of 742405672544 in words is "seven hundred forty-two billion, four hundred five million, six hundred seventy-two thousand, five hundred forty-four".