742067345725641 has 24 divisors (see below), whose sum is σ = 1154539997985920. Its totient is φ = 456572558173536.

The previous prime is 742067345725567. The next prime is 742067345725687. The reversal of 742067345725641 is 146527543760247.

742067345725641 is a `hidden beast` number, since 7 + 4 + 2 + 0 + 6 + 7 + 3 + 4 + 572 + 56 + 4 + 1 = 666.

It is not a de Polignac number, because 742067345725641 - 2⁷ = 742067345725513 is a prime.

It is a super-2 number, since 2×742067345725641² (a number of 31 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (742067345725241) 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 23 ways as a sum of consecutive naturals, for example, 584571361 + ... + 585839406.

Almost surely, 2^{742067345725641} is an apocalyptic number.

It is an amenable number.

742067345725641 is a deficient number, since it is larger than the sum of its proper divisors (412472652260279).

742067345725641 is a wasteful number, since it uses less digits than its factorization.

742067345725641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170416205 (or 1170416202 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 63.

The spelling of 742067345725641 in words is "seven hundred forty-two trillion, sixty-seven billion, three hundred forty-five million, seven hundred twenty-five thousand, six hundred forty-one".