7609713468 has 192 divisors, whose sum is σ = 22286573568. Its totient is φ = 1970749440.

The previous prime is 7609713467. The next prime is 7609713469. The reversal of 7609713468 is 8643179067.

It is an interprime number because it is at equal distance from previous prime (7609713467) and next prime (7609713469).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 7609713468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7609713467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17574180 + ... + 17574612.

It is an arithmetic number, because the mean of its divisors is an integer number (116075904).

Almost surely, 2^7609713468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7609713468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11143286784).

7609713468 is an abundant number, since it is smaller than the sum of its proper divisors (14676860100).

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

7609713468 is a wasteful number, since it uses less digits than its factorization.

7609713468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 7609713468 is about 87233.6716411731. The cubic root of 7609713468 is about 1966.9324025230.

The spelling of 7609713468 in words is "seven billion, six hundred nine million, seven hundred thirteen thousand, four hundred sixty-eight".