676078733935440 has 1920 divisors, whose sum is σ = 2923811344097280. Its totient is φ = 143028036403200.

The previous prime is 676078733935391. The next prime is 676078733935441. The reversal of 676078733935440 is 44539337870676.

676078733935440 is a `hidden beast` number, since 6 + 7 + 6 + 0 + 7 + 8 + 73 + 3 + 9 + 3 + 544 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676078733935441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3246200910 + ... + 3246409170.

It is an arithmetic number, because the mean of its divisors is an integer number (1522818408384).

Almost surely, 2^{676078733935440} is an apocalyptic number.

676078733935440 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 676078733935440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461905672048640).

676078733935440 is an abundant number, since it is smaller than the sum of its proper divisors (2247732610161840).

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

676078733935440 is a wasteful number, since it uses less digits than its factorization.

676078733935440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208383 (or 208365 counting only the distinct ones).

The product of its (nonzero) digits is 1920360960, while the sum is 72.

The spelling of 676078733935440 in words is "six hundred seventy-six trillion, seventy-eight billion, seven hundred thirty-three million, nine hundred thirty-five thousand, four hundred forty".