676402085577465 has 384 divisors, whose sum is σ = 1469008098754560. Its totient is φ = 283894653689856.

The previous prime is 676402085577371. The next prime is 676402085577607. The reversal of 676402085577465 is 564775580204676.

676402085577465 is a `hidden beast` number, since 6 + 7 + 6 + 4 + 0 + 2 + 0 + 8 + 5 + 577 + 46 + 5 = 666.

It is not a de Polignac number, because 676402085577465 - 2¹⁷ = 676402085446393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 676402085577393 and 676402085577402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11677578994 + ... + 11677636916.

It is an arithmetic number, because the mean of its divisors is an integer number (3825541923840).

Almost surely, 2^{676402085577465} is an apocalyptic number.

676402085577465 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

676402085577465 is an abundant number, since it is smaller than the sum of its proper divisors (792606013177095).

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

676402085577465 is a wasteful number, since it uses less digits than its factorization.

676402085577465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60693 (or 60690 counting only the distinct ones).

The product of its (nonzero) digits is 2370816000, while the sum is 72.

The spelling of 676402085577465 in words is "six hundred seventy-six trillion, four hundred two billion, eighty-five million, five hundred seventy-seven thousand, four hundred sixty-five".