676201036654440 has 192 divisors, whose sum is σ = 2397794732424000. Its totient is φ = 163903271500800.

The previous prime is 676201036654427. The next prime is 676201036654483. The reversal of 676201036654440 is 44456630102676.

It is a happy number.

676201036654440 is a `hidden beast` number, since 6 + 7 + 6 + 20 + 1 + 0 + 36 + 6 + 544 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14145411 + ... + 39401709.

It is an arithmetic number, because the mean of its divisors is an integer number (12488514231375).

Almost surely, 2^{676201036654440} is an apocalyptic number.

676201036654440 is a gapful number since it is divisible by the number (60) 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 676201036654440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198897366212000).

676201036654440 is an abundant number, since it is smaller than the sum of its proper divisors (1721593695769560).

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

676201036654440 is a wasteful number, since it uses less digits than its factorization.

676201036654440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25263088 (or 25263081 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 676201036654440 in words is "six hundred seventy-six trillion, two hundred one billion, thirty-six million, six hundred fifty-four thousand, four hundred forty".