7676419968 has 288 divisors, whose sum is σ = 25849044000. Its totient is φ = 2180247552.

The previous prime is 7676419903. The next prime is 7676419969. The reversal of 7676419968 is 8699146767.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7676419969) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13490788 + ... + 13491356.

It is an arithmetic number, because the mean of its divisors is an integer number (89753625).

Almost surely, 2^7676419968 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 7676419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12924522000).

7676419968 is an abundant number, since it is smaller than the sum of its proper divisors (18172624032).

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

7676419968 is a wasteful number, since it uses less digits than its factorization.

7676419968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 820 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 7676419968 is about 87615.1811503007. The cubic root of 7676419968 is about 1972.6630452144.

The spelling of 7676419968 in words is "seven billion, six hundred seventy-six million, four hundred nineteen thousand, nine hundred sixty-eight".