7423820400061 has 16 divisors (see below), whose sum is σ = 8059311724464. Its totient is φ = 6797739561984.

The previous prime is 7423820400053. The next prime is 7423820400079. The reversal of 7423820400061 is 1600040283247.

It can be written as a sum of positive squares in 8 ways, for example, as 399147231961 + 7024673168100 = 631781^2 + 2650410^2 .

It is a cyclic number.

It is not a de Polignac number, because 7423820400061 - 2³ = 7423820400053 is a prime.

It is a super-2 number, since 2×7423820400061² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7423820400011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3437830 + ... + 5163943.

It is an arithmetic number, because the mean of its divisors is an integer number (503706982779).

Almost surely, 2^{7423820400061} is an apocalyptic number.

It is an amenable number.

7423820400061 is a deficient number, since it is larger than the sum of its proper divisors (635491324403).

7423820400061 is a wasteful number, since it uses less digits than its factorization.

7423820400061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602320.

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 7423820400061 in words is "seven trillion, four hundred twenty-three billion, eight hundred twenty million, four hundred thousand, sixty-one".