7661422440 has 288 divisors, whose sum is σ = 30490668000. Its totient is φ = 1658942208.

The previous prime is 7661422423. The next prime is 7661422441. The reversal of 7661422440 is 442241667.

7661422440 is a `hidden beast` number, since 76 + 6 + 142 + 2 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7661422395 and 7661422404.

It is not an unprimeable number, because it can be changed into a prime (7661422441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323731 + ... + 346589.

It is an arithmetic number, because the mean of its divisors is an integer number (105870375).

Almost surely, 2^7661422440 is an apocalyptic number.

7661422440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7661422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15245334000).

7661422440 is an abundant number, since it is smaller than the sum of its proper divisors (22829245560).

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

7661422440 is a wasteful number, since it uses less digits than its factorization.

7661422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22909 (or 22895 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 7661422440 is about 87529.5518096603. The cubic root of 7661422440 is about 1971.3775346406.

The spelling of 7661422440 in words is "seven billion, six hundred sixty-one million, four hundred twenty-two thousand, four hundred forty".