7442400645 has 48 divisors (see below), whose sum is σ = 13467682800. Its totient is φ = 3797176320.

The previous prime is 7442400619. The next prime is 7442400649. The reversal of 7442400645 is 5460042447.

7442400645 is a `hidden beast` number, since 7 + 4 + 4 + 2 + 4 + 0 + 0 + 645 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37970244 + 7404430401 = 6162^2 + 86049^2 .

It is not a de Polignac number, because 7442400645 - 2⁸ = 7442400389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7442400649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116085 + ... + 168405.

It is an arithmetic number, because the mean of its divisors is an integer number (280576725).

Almost surely, 2^7442400645 is an apocalyptic number.

It is an amenable number.

7442400645 is a deficient number, since it is larger than the sum of its proper divisors (6025282155).

7442400645 is a wasteful number, since it uses less digits than its factorization.

7442400645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52470 (or 52467 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 7442400645 is about 86269.3493947879. The cubic root of 7442400645 is about 1952.4099631521.

The spelling of 7442400645 in words is "seven billion, four hundred forty-two million, four hundred thousand, six hundred forty-five".