676990154016 has 768 divisors, whose sum is σ = 2268312076800. Its totient is φ = 197074944000.

The previous prime is 676990153933. The next prime is 676990154017. The reversal of 676990154016 is 610451099676.

It is a happy number.

676990154016 is a `hidden beast` number, since 6 + 7 + 6 + 9 + 90 + 1 + 540 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (676990154017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2809087656 + ... + 2809087896.

It is an arithmetic number, because the mean of its divisors is an integer number (2953531350).

Almost surely, 2^676990154016 is an apocalyptic number.

676990154016 is a gapful number since it is divisible by the number (66) 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 676990154016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134156038400).

676990154016 is an abundant number, since it is smaller than the sum of its proper divisors (1591321922784).

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

676990154016 is a wasteful number, since it uses less digits than its factorization.

676990154016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 676990154016 in words is "six hundred seventy-six billion, nine hundred ninety million, one hundred fifty-four thousand, sixteen".