7676956554480 has 640 divisors, whose sum is σ = 28276833024000. Its totient is φ = 1909755961344.

The previous prime is 7676956554439. The next prime is 7676956554541. The reversal of 7676956554480 is 844556596767.

7676956554480 is a `hidden beast` number, since 7 + 6 + 7 + 6 + 9 + 565 + 54 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7676956554399 and 7676956554408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1651311196 + ... + 1651315844.

It is an arithmetic number, because the mean of its divisors is an integer number (44182551600).

Almost surely, 2^{7676956554480} 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 7676956554480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138416512000).

7676956554480 is an abundant number, since it is smaller than the sum of its proper divisors (20599876469520).

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

7676956554480 is a wasteful number, since it uses less digits than its factorization.

7676956554480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 7676956554480 in words is "seven trillion, six hundred seventy-six billion, nine hundred fifty-six million, five hundred fifty-four thousand, four hundred eighty".