7609406976 has 560 divisors, whose sum is σ = 25493569200. Its totient is φ = 2257403904.

The previous prime is 7609406951. The next prime is 7609406977. The reversal of 7609406976 is 6796049067.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7609406977) 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 55 ways as a sum of consecutive naturals, for example, 205659630 + ... + 205659666.

Almost surely, 2^7609406976 is an apocalyptic number.

7609406976 is a gapful number since it is divisible by the number (76) 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 7609406976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12746784600).

7609406976 is an abundant number, since it is smaller than the sum of its proper divisors (17884162224).

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

7609406976 is an equidigital number, since it uses as much as digits as its factorization.

7609406976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 7609406976 is about 87231.9148935755. The cubic root of 7609406976 is about 1966.9059951713.

The spelling of 7609406976 in words is "seven billion, six hundred nine million, four hundred six thousand, nine hundred seventy-six".